If the exterior angle of a triangle is 130° and its interior opposite angles are equal, then measure of each interior opposite angle is
a. 55°
b. 65°
c. 50°
d. 60°

Solution:

Given, the exterior angle of a triangle is 130°.

The interior opposite angles of a triangle are equal.

We have to find the measure of each interior opposite angle.

The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two opposite interior angles of the triangle.

Let the interior angle be x.

By exterior angle property,

130° = x + x

2x = 130°

x = 130°/2

x = 65°

Therefore, the interior angle is 65°.

✦ Try This: If the exterior angle of a triangle is 160° and its interior opposite angles are equal, then measure of each interior opposite angle is

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 6

NCERT Exemplar Class 7 Maths Chapter 6 Problem 26

If the exterior angle of a triangle is 130° and its interior opposite angles are equal, then measure of each interior opposite angle is: a. 55°, b. 65°, c. 50°, d. 60°

Summary:

If the exterior angle of a triangle is 130° and its interior opposite angles are equal, then measure of each interior opposite angle is 65°

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