Question

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

Options

• 55°

• 65°

• 50°

• 60°

Answer 1

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°.

Explanation:

Let interior opposite angles be x and x.

∴ 130° = x + x  ...[Exterior angle property]

⇒ 2x = 130°

⇒ x = `130^circ/2` = 65°

Thus, each interior opposite angle is 65°.