Exercise 6.2 - Chapter 6 Triangles & Its Properties class 7 ncert solutions Maths - SaraNextGen [2024-2025]

Updated By SaraNextGen

On April 24, 2024, 11:35 AM

Question 1:

Find the value of the unknown exterior angle x in the following diagrams:

Answer:

(i) x = 50° + 70° (Exterior angle theorem)

x = 120°

(ii) x = 65° + 45° (Exterior angle theorem)

= 110°

(iii) x = 40° + 30° (Exterior angle theorem)

= 70°

(iv) x = 60° + 60° (Exterior angle theorem)

= 120°

(v) x = 50° + 50° (Exterior angle theorem)

= 100°

(vi) x = 30° + 60° (Exterior angle theorem)

= 90°

Question 2:

Find the value of the unknown interior angle x in the following figures:

Answer:

(i) x + 50° = 115° (Exterior angle theorem)

x = 115° − 50° = 65°

(ii) 70° + x = 100° (Exterior angle theorem)

x = 100° − 70° = 30°

(iii) x + 90° = 125° (Exterior angle theorem)

x = 125° − 90° = 35°

(iv) x + 60° = 120° (Exterior angle theorem)

x = 120° − 60° = 60°

(v) x + 30° = 80° (Exterior angle theorem)

x = 80° − 30° = 50°

(vi) x + 35° = 75° (Exterior angle theorem)

x = 75º − 35º = 40°