Get the most accurate GSEB Solutions for Class 7 Mathematics Chapter 06 The Triangles and Its Properties here. Updated for the 2026-27 academic session, these solutions are based on the latest GSEB textbooks for Class 7 Mathematics. Our expert-created answers for Class 7 Mathematics are available for free download in PDF format.
Detailed Chapter 06 The Triangles and Its Properties GSEB Solutions for Class 7 Mathematics
For Class 7 students, solving GSEB textbook questions is the most effective way to build a strong conceptual foundation. Our Class 7 Mathematics solutions follow a detailed, step-by-step approach to ensure you understand the logic behind every answer. Practicing these Chapter 06 The Triangles and Its Properties solutions will improve your exam performance.
Class 7 Mathematics Chapter 06 The Triangles and Its Properties GSEB Solutions PDF
Question 1. Find the value of the unknown exterior angle x in the following diagrams:
Answer:
(i) The internal opposite angles are 50° and 70°.
\( \therefore \) Applying the exterior angle property of a triangle, we get that the exterior angle equals the sum of its interior opposite angles.
So, \( x = 50° + 70° = 120° \).
(ii) The interior opposite angles measure 65° and 45°.
\( \therefore \) Using the relationship, the exterior angle is the sum of the interior opposite angles.
We find \( x = 65° + 45° = 110° \).
(iii) The interior opposite angles are 30° and 40°.
\( \therefore \) Applying this relation, the exterior angle is calculated by adding the interior opposite angles.
We get \( x = 30° + 40° = 70° \).
(iv) The interior opposite angles are 60° and 60°.
\( \therefore \) Using the same principle, the exterior angle is simply the sum of the internal opposite angles.
Thus, \( x = 60° + 60° = 120° \).
(v) The interior opposite angles are 50° and 50°.
\( \therefore \) Following this rule, the exterior angle is obtained by summing the two interior opposite angles.
Therefore, \( x = 50° + 50° = 100° \).
(vi) The interior opposite angles are 30° and 60°.
So, \( x = 30° + 60° = 90° \).
Exam Tip: Remember that the exterior angle of any triangle is always equal to the total of its two opposite interior angles. This rule helps solve many problems quickly.
Question 2. Find the value of the unknown interior angle x in the following figures:
Answer:
(i) The exterior angle is 115°. One of the interior opposite angles is 50°.
Applying the relationship: [Sum of the interior opposite angles] = [Exterior angle].
We have \( x + 50° = 115° \).
\( \implies x = 115° - 50° \).
\( \implies x = 65° \).
Therefore, the measure of the unknown interior angle is 65°.
(ii) The exterior angle is 100°. The interior opposite angles are 70° and \( x \).
Using the relation: [Sum of the interior opposite angles] = [Exterior angle].
We get \( 70° + x = 100° \).
\( \implies x = 100° - 70° \).
\( \implies x = 30° \).
Hence, the required measure of the unknown interior opposite angle is 30°.
(iii) The exterior angle is 125°. The interior opposite angles are 90° and \( x \).
Applying the relation: [Sum of the interior opposite angles] = [Exterior angle].
We find \( x + 90° = 125° \).
\( \implies x = 125° - 90° \).
\( \implies x = 35° \).
Thus, the value of the unknown interior opposite angle is 35°.
(iv) The exterior angle is 120°. The interior opposite angles are 60° and \( x \).
Using the relation: [Sum of the interior opposite angles] = [Exterior angle].
We have \( x + 60° = 120° \).
\( \implies x = 120° - 60° \).
\( \implies x = 60° \).
Consequently, the measure of the unknown interior opposite angle is 60°.
(v) The exterior angle is 80°. The interior opposite angles are 30° and \( x \).
Applying the relation: [Sum of the interior opposite angles] = [Exterior angle].
We get: \( 30° + x = 80° \).
\( \implies x = 80° - 30° \).
\( \implies x = 50° \).
Hence, the measure of the unknown interior angle is 50°.
(vi) The exterior angle is 75°. The interior opposite angles are \( x \) and 35°.
Using the relation: [Sum of the interior opposite angles] = [Exterior angle].
We have \( x + 35° = 75° \).
\( \implies x = 75° - 35° \).
\( \implies x = 40° \).
Therefore, the measure of the interior opposite angle is 40°.
Exam Tip: When finding an unknown interior angle, rearrange the exterior angle property formula to subtract the known interior angle from the exterior angle. Always double-check your subtraction.
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GSEB Solutions Class 7 Mathematics Chapter 06 The Triangles and Its Properties
Students can now access the GSEB Solutions for Chapter 06 The Triangles and Its Properties prepared by teachers on our website. These solutions cover all questions in exercise in your Class 7 Mathematics textbook. Each answer is updated based on the current academic session as per the latest GSEB syllabus.
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FAQs
The complete and updated GSEB Class 7 Maths Solutions Chapter 6 The Triangles and Its Properties Exercise 6.2 is available for free on StudiesToday.com. These solutions for Class 7 Mathematics are as per latest GSEB curriculum.
Yes, our experts have revised the GSEB Class 7 Maths Solutions Chapter 6 The Triangles and Its Properties Exercise 6.2 as per 2026 exam pattern. All textbook exercises have been solved and have added explanation about how the Mathematics concepts are applied in case-study and assertion-reasoning questions.
Toppers recommend using GSEB language because GSEB marking schemes are strictly based on textbook definitions. Our GSEB Class 7 Maths Solutions Chapter 6 The Triangles and Its Properties Exercise 6.2 will help students to get full marks in the theory paper.
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