Q

An exterior angle of a triangle is of measure 70 degrees and one of its interior opposite angles is of measure 25 degrees. Find the measure of the other interior opposite angle.

1. An exterior angle of a triangle is of measure $\small 70^{\circ}$ and one of its interior opposite angles is of measure $\small 25^{\circ}$. Find the measure of the other interior opposite angle.

Views

As we know that in a triangle, the exterior angle is equal to the sum of opposite interior angles.

So,

According to the question,

$70^0=25^0+interior \:\:angle$

$interior \:\:angle =70^0-25^0$

$interior \:\:angle =45^0$

Hence the other interior angle is $45^0$.

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