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Q.

An exterior angle of a triangle is 100 °   and its interior opposite angles are equal to each other. The measure of interior opposite angle is ____°.


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Detailed Solution

An exterior angle of a triangle is 100 °  and its interior opposite angles are equal to each other. The measure of interior opposite angle is 50°.
Given an exterior angle of a triangle is 100 °  and its interior opposite angles are equal to each other.
Let the interior opposite angle = x°.
Now, using exterior angle property of a triangle.
100 o =x+x 2x= 100 o x= 100 o 2 x= 50 o   The measure of interior opposite angle is 50°.
 
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