Question

An exterior angle of a triangle is $100°.$ If its interior opposite angles are equal to each other, then the measure of each of the interior opposite angle is$\_\_\_\_\_\_\_\_\_\_$

Answer 1

Given

The exterior angle of a triangle is $100°$

Let the equal interior opposite angle be $x$

Since,

Exterior angle$=$ Sum of two interior opposite angle

$$\begin{gathered} \Rightarrow 100=x+x \\ \Rightarrow 100=2x \\ \Rightarrow x=\frac{100}{2} \\ \Rightarrow x=50° \end{gathered}$$

Hence, the measure of each equal interior opposite angle is $50°$