Question

An exterior angle of a triangle is ${100}^o$ and its interior opposite angles are equal to each other find the measure of each angle of the triangle.

Answer 1

Let the interior opposite angles of triangle be $x,x$

The external angle is ${100}^{\circ }$

By external nagle therom

$⟹100=x+x$

$2x=100$
$x=\frac{100}{2}={50}^{\circ }$