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 $__________$

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Solution

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
$\Rightarrow 100 = x + x \Rightarrow 100 = 2 x \Rightarrow x = \frac{100}{2} \Rightarrow x = 50 °$
Hence, the measure of each equal interior opposite angle is $50 °$

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