CBSE Class 7 Mathematics Parallel and Intersecting Lines MCQs Set 09

Question. In Example 1, ∠6 is 135°. The set of angles that measure 45° includes ∠5, ∠1, ∠3, and
(a) ∠2
(b) ∠4
(c) ∠7
(d) ∠8

Answer: C

Question. In Example 2, if ∠a is 120° and ∠f is 70°, lines l and m are not parallel because the corresponding angles are
(a) Equal
(b) Unequal
(c) Complementary
(d) 180 degrees

Answer: B

Question. In a pair of intersecting lines, which angles are always equal?
(a) Linear pairs
(b) Alternate interior angles
(c) Adjacent angles
(d) Vertically opposite angles

Answer: D

Question. Angles ∠3 and ∠6 in Fig. 5.28 (Example 3) are called
(a) Alternate angles
(b) Corresponding angles
(c) Interior angles
(d) Linear pairs

Answer: C

Question. When a transversal cuts two parallel lines, the interior angles on the same side of the transversal, like ∠3 and ∠6, always add up to
(a) 90°
(b) 180°
(c) 360°
(d) They are equal

Answer: B

Question. In Example 3, if ∠3 is 50°, and lines l and m are parallel, then ∠6 is 130° because
(a) They are alternate angles
(b) They are corresponding angles
(c) They are interior angles on the same side
(d) They are linear pairs

Answer: C

Question. What is the sum of interior angles on the same side of a transversal intersecting parallel lines?
(a) 90°
(b) 120°
(c) 180°
(d) 360°

Answer: C

Question. In Example 4, if line segment AB is parallel to CD, and AD is a transversal. If ∠ADC is 60°, the total angle ∠DAB must be
(a) 60°
(b) 120°
(c) 180°
(d) 90°

Answer: B

Question. In Example 4, if ∠DAB is 120° and ∠DAC is 65°, the measure of ∠CAB is calculated as
(a) 120° + 65°
(b) 180° - 120°
(c) 120° - 65°
(d) 65°

Answer: C

Question. In Example 4, the value of ∠CAB is 55° because 120° - 65° is equal to
(a) 75°
(b) 55°
(c) 65°
(d) 180°

Answer: B

Question. Which angle pair is always supplementary?
(a) Vertically opposite
(b) Alternate interior
(c) Linear pair
(d) Corresponding

Answer: C

Question. In Example 4, line segment AD is parallel to BC, and CD is the transversal. If ∠ADC is 60°, what is the measure of ∠BCD?
(a) 60°
(b) 120°
(c) 180°
(d) 90°

Answer: B

Question. If line segment AB is parallel to CD, and CD is parallel to EF (Fig 5.34), what is true about AB and EF?
(a) They are intersecting
(b) They are perpendicular
(c) They are parallel (Not in source, but implied by property of parallel lines)
(d) Cannot be determined

Answer: C

Question. In Fig 5.34, EA is perpendicular to AB. This means the angle between EA and AB is
(a) 45°
(b) 180°
(c) 90° (Not directly cited, but definition of perpendicular lines applies)
(d) 55°

Answer: C

Question. In Fig 5.34, AB is parallel to CD, and EA is perpendicular to AB. This means EA is also perpendicular to CD, so the angle y will be
(a) 55°
(b) 90° (Not directly cited, but extension of perpendicularity applies)
(c) 125°
(d) 180°

Answer: B

Question. How many alternate angles are formed when a transversal cuts two lines?
(a) 2
(b) 4
(c) 6
(d) 8

Answer: B

Question. In Fig 5.34, CD is parallel to EF. The angle ∠CDE (which is part of x°) and ∠DEF (55°) are interior angles on the same side. This means their sum should be
(a) 90°
(b) 180°
(c) 360°
(d) Equal

Answer: B

Question. In the geometry problem of finding angles, if lines are parallel, we can use the equality of corresponding angles or alternate angles, or the sum of 180° for
(a) Vertically opposite angles
(b) Exterior angles
(c) Interior angles on the same side
(d) Linear pairs

Answer: C

Question. We use a set square and ruler to draw parallel lines. This method is based on forming equal what kind of angles?
(a) Alternate interior angles
(b) Linear pair angles
(c) Corresponding angles
(d) Vertically opposite angles

Answer: C