Question

An exterior angle of a triangle is ${115}^{\circ }$ and its two interior opposite angles are equal. Find the value of equal angle.

• A.
• B.
• C.
• D.

Answer 1

The correct option is D

We know that, exterior angle of a triangle is sum of its interior opposite angles.

So, $\angle C=\angle A+\angle B$
$\angle A=\angle B$ (Given in quesiton)
Exterior angle=$\angle C={115}^{\circ }$
Let, $\angle A=x$
${115}^{\circ }=x+x$
${57.5}^{\circ }=2x$
$x={57.5}^{\circ }$