Question

An exterior angle of a triangle is ${105}^{\circ }$ and its two interior opposite angles are equal. Find the value of equal angle.

• A.
• B.
• C.
• D.

Answer 1

The correct option is B

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 question)
Exterior angle = $\angle C={105}^{\circ }$
Let $\angle A=x$
${105}^{\circ }=x+x$
${105}^{\circ }=2x$
$x={52.5}^{\circ }$