CBSE Class 7 Mathematics Lines and Angles MCQs Set 10

Multiple Choice Questions (MCQs) for Class 7 Mathematics: Chapter 05 Lines and Angles

Review structured MCQ sets for Class 7 Mathematics Chapter 05 Lines and Angles. Built according to official CBSE guidelines, these downloadable questions support daily revision and core concept reinforcement.

Practice Chapter 05 Lines and Angles MCQs for Class 7 Mathematics

Navigate directly to the 50 objective questions for Chapter 05 Lines and Angles using the digital viewer below. Each practice set includes verified answer keys, allowing students to instantly cross-check their work and identify areas requiring further revision.

Multiple Choice Questions

Question 1: The complement of 63° is:
(a) 117°
(b) 27°
(c) 37°
(d) 153°
Show Answer & Explanation

Answer: (b) 27°

Explanation:
1. Complement = 90° - 63° = 27°.

Teacher's Note:
1. Angle facts used here: complementary angles add to 90°, supplementary angles add to 180°.
2. Re-check the answer by substituting back into the question.

Question 2: The complement of 20° is:
(a) 70°
(b) 160°
(c) 80°
(d) 110°
Show Answer & Explanation

Answer: (a) 70°

Explanation:
1. 90° - 20° = 70°.

Teacher's Note:
1. Angle facts used here: complementary angles add to 90°, supplementary angles add to 180°.
2. Re-check the answer by substituting back into the question.

Question 3: The complement of 75° is:
(a) 105°
(b) 25°
(c) 85°
(d) 15°
Show Answer & Explanation

Answer: (d) 15°

Explanation:
1. 90° - 75° = 15°.

Teacher's Note:
1. Angle facts used here: complementary angles add to 90°, supplementary angles add to 180°.
2. Re-check the answer by substituting back into the question.

Question 4: The complement of 50.5° is:
(a) 129.5°
(b) 49.5°
(c) 39.5°
(d) 40.5°
Show Answer & Explanation

Answer: (c) 39.5°

Explanation:
1. 90° - 50.5° = 39.5°.

Teacher's Note:
1. Angle facts used here: complementary angles add to 90°, supplementary angles add to 180°.
2. Re-check the answer by substituting back into the question.

Question 5: The supplement of 105° is:
(a) 85°
(b) 75°
(c) 285°
(d) 15°
Show Answer & Explanation

Answer: (b) 75°

Explanation:
1. 180° - 105° = 75°.

Teacher's Note:
1. Angle facts used here: complementary angles add to 90°, supplementary angles add to 180°.
2. Re-check the answer by substituting back into the question.

Question 6: The supplement of 154° is:
(a) 26°
(b) 36°
(c) 206°
(d) 64°
Show Answer & Explanation

Answer: (a) 26°

Explanation:
1. 180° - 154° = 26°.

Teacher's Note:
1. Angle facts used here: complementary angles add to 90°, supplementary angles add to 180°.
2. Re-check the answer by substituting back into the question.

Question 7: The supplement of 87° is:
(a) 3°
(b) 103°
(c) 267°
(d) 93°
Show Answer & Explanation

Answer: (d) 93°

Explanation:
1. 180° - 87° = 93°.

Teacher's Note:
1. Angle facts used here: complementary angles add to 90°, supplementary angles add to 180°.
2. Re-check the answer by substituting back into the question.

Question 8: The supplement of an obtuse angle is always:
(a) an obtuse angle
(b) a right angle
(c) an acute angle
(d) a reflex angle
Show Answer & Explanation

Answer: (c) an acute angle

Explanation:
1. An obtuse angle lies between 90° and 180°.
2. 180° minus such an angle lies between 0° and 90°, so it is acute.

Teacher's Note:
1. The supplement of an acute angle is obtuse, and of a right angle is a right angle.
2. Re-check the answer by substituting back into the question.

Question 9: Which of the following pairs of angles is complementary?
(a) 75° and 115°
(b) 25° and 65°
(c) 40° and 40°
(d) 100° and 80°
Show Answer & Explanation

Answer: (b) 25° and 65°

Explanation:
1. Add each pair: 25° + 65° = 90°; 75° + 115° = 190°; 40° + 40° = 80°; 100° + 80° = 180°.
2. Only the first pair adds up to 90°.

Teacher's Note:
1. Complementary means the sum is exactly 90°.
2. Re-check the answer by substituting back into the question.

Question 10: An angle equals its own complement. The angle is:
(a) 45°
(b) 30°
(c) 60°
(d) 90°
Show Answer & Explanation

Answer: (a) 45°

Explanation:
1. Let the angle be x. Then x = 90° - x, so 2x = 90° and x = 45°.

Teacher's Note:
1. Set up an equation using the definition of the complement.
2. Re-check the answer by substituting back into the question.

Question 11: An angle is twice its complement. The angle is:
(a) 30°
(b) 45°
(c) 120°
(d) 60°
Show Answer & Explanation

Answer: (d) 60°

Explanation:
1. Let the angle be x. Then x = 2(90° - x) = 180° - 2x.
2. 3x = 180°, so x = 60°.

Teacher's Note:
1. Check: the complement is 30° and 60° is twice 30°.
2. Re-check the answer by substituting back into the question.

Question 12: An angle is 20° more than its complement. The angle is:
(a) 35°
(b) 70°
(c) 55°
(d) 65°
Show Answer & Explanation

Answer: (c) 55°

Explanation:
1. x = (90° - x) + 20°, so 2x = 110° and x = 55°.

Teacher's Note:
1. Check: the complement is 35° and 55° - 35° = 20°.
2. Re-check the answer by substituting back into the question.

Question 13: Two supplementary angles are in the ratio 2 : 3. The smaller angle is:
(a) 60°
(b) 72°
(c) 108°
(d) 36°
Show Answer & Explanation

Answer: (b) 72°

Explanation:
1. Let the angles be 2k and 3k. Then 5k = 180°, so k = 36°.
2. Smaller angle = 2 × 36° = 72°.

Teacher's Note:
1. Ratio questions: write the angles as multiples of one unknown.
2. Re-check the answer by substituting back into the question.

Question 14: Two complementary angles are in the ratio 4 : 5. The larger angle is:
(a) 50°
(b) 40°
(c) 45°
(d) 54°
Show Answer & Explanation

Answer: (a) 50°

Explanation:
1. 4k + 5k = 90°, so k = 10°.
2. Larger angle = 5 × 10° = 50°.

Teacher's Note:
1. The sum of the ratio parts equals 90° for complementary angles.
2. Re-check the answer by substituting back into the question.

Question 15: Two angles forming a linear pair add up to:
(a) 90°
(b) 360°
(c) 270°
(d) 180°
Show Answer & Explanation

Answer: (d) 180°

Explanation:
1. A linear pair lies along a straight line, so its measures add to 180°.

Teacher's Note:
1. Every linear pair is supplementary, but supplementary angles need not be adjacent.
2. Re-check the answer by substituting back into the question.

Question 16: Two lines intersect and one of the four angles is 55°. The angle vertically opposite to it is:
(a) 125°
(b) 35°
(c) 55°
(d) 305°
Show Answer & Explanation

Answer: (c) 55°

Explanation:
1. Vertically opposite angles are equal, so it is 55°.

Teacher's Note:
1. The other two angles at the point are each 180° - 55° = 125°.
2. Re-check the answer by substituting back into the question.

Question 17: Two lines intersect and one of the four angles is 55°. Each of the other two (non-vertical) angles is:
(a) 55°
(b) 125°
(c) 35°
(d) 90°
Show Answer & Explanation

Answer: (b) 125°

Explanation:
1. Adjacent angles form a linear pair: 180° - 55° = 125°.

Teacher's Note:
1. Adjacent angles at an intersection add to 180°.
2. Re-check the answer by substituting back into the question.

Question 18: The sum of all angles around a point is:
(a) 360°
(b) 180°
(c) 90°
(d) 270°
Show Answer & Explanation

Answer: (a) 360°

Explanation:
1. A complete turn around a point is 360°.

Teacher's Note:
1. Angles on one side of a straight line add to 180°.
2. Re-check the answer by substituting back into the question.

Question 19: Four angles around a point are 90°, 110°, 70° and x. Then x =
(a) 80°
(b) 100°
(c) 110°
(d) 90°
Show Answer & Explanation

Answer: (d) 90°

Explanation:
1. x = 360° - (90° + 110° + 70°) = 360° - 270° = 90°.

Teacher's Note:
1. Always use 360° for angles around a point.
2. Re-check the answer by substituting back into the question.

Question 20: A ray stands on a line making angles (x + 20)° and (2x - 5)° on the line. Then x =
(a) 45°
(b) 60°
(c) 55°
(d) 65°
Show Answer & Explanation

Answer: (c) 55°

Explanation:
1. Linear pair: (x + 20) + (2x - 5) = 180.
2. 3x + 15 = 180, so 3x = 165 and x = 55°.

Teacher's Note:
1. Check: 75° + 105° = 180°.
2. Re-check the answer by substituting back into the question.

Question 21: Two lines l and m are parallel and cut by a transversal. Each pair of corresponding angles is:
(a) supplementary
(b) equal
(c) complementary
(d) unequal
Show Answer & Explanation

Answer: (b) equal

Explanation:
1. For parallel lines corresponding angles are equal.

Teacher's Note:
1. Converse: if corresponding angles are equal, the lines are parallel.
2. Re-check the answer by substituting back into the question.

Question 22: When two parallel lines are cut by a transversal, the alternate interior angles are:
(a) equal
(b) supplementary
(c) complementary
(d) right angles always
Show Answer & Explanation

Answer: (a) equal

Explanation:
1. Alternate interior angles are equal for parallel lines.

Teacher's Note:
1. Equal alternate interior angles also prove that the lines are parallel.
2. Re-check the answer by substituting back into the question.

Question 23: When two parallel lines are cut by a transversal, interior angles on the same side of the transversal are:
(a) equal
(b) complementary
(c) vertically opposite
(d) supplementary
Show Answer & Explanation

Answer: (d) supplementary

Explanation:
1. Co-interior angles add up to 180°.

Teacher's Note:
1. They are also called consecutive interior angles.
2. Re-check the answer by substituting back into the question.

Question 24: Parallel lines l and m are cut by a transversal. One interior angle on the same side is 126°. The other is:
(a) 126°
(b) 64°
(c) 54°
(d) 44°
Show Answer & Explanation

Answer: (c) 54°

Explanation:
1. Co-interior angles are supplementary: 180° - 126° = 54°.

Teacher's Note:
1. Use 180° for co-interior angles.
2. Re-check the answer by substituting back into the question.

Question 25: l || m and a transversal makes an angle of 100° with l. The corresponding angle at m is:
(a) 80°
(b) 100°
(c) 260°
(d) 10°
Show Answer & Explanation

Answer: (b) 100°

Explanation:
1. Corresponding angles are equal when lines are parallel.

Teacher's Note:
1. Check the angle is in the same relative position.
2. Re-check the answer by substituting back into the question.

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Practice MCQs for Class 7 Mathematics Chapter 05 Lines and Angles

Download Multiple Choice Questions: Chapter 05 Lines and Angles (Class 7 Mathematics)

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FAQs

Where can I access latest CBSE Class 7 Mathematics Lines and Angles MCQs Set 10?

You can get most exhaustive CBSE Class 7 Mathematics Lines and Angles MCQs Set 10 for free on StudiesToday.com. These MCQs for Class 7 Mathematics are updated for the 2026-27 academic session as per CBSE examination standards.

Are Assertion-Reasoning and Case-Study MCQs included in the Mathematics Class 7 material?

Yes, our CBSE Class 7 Mathematics Lines and Angles MCQs Set 10 include the latest type of questions, such as Assertion-Reasoning and Case-based MCQs. 50% of the CBSE paper is now competency-based.

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By solving our CBSE Class 7 Mathematics Lines and Angles MCQs Set 10, Class 7 students can improve their accuracy and speed which is important as objective questions provide a chance to secure 100% marks in the Mathematics.

Do you provide answers and explanations for CBSE Class 7 Mathematics Lines and Angles MCQs Set 10?

Yes, Mathematics MCQs for Class 7 have answer key and brief explanations to help students understand logic behind the correct option as its important for 2026 competency-focused CBSE exams.

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