Question

In ΔPQR, the measure of an exterior angle is 115° and one of the opposite interior angles is 35° , find the measure of another opposite interior angle.

Answer 1

another opp. angle = 115 - 35
= 80°
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Answer 2

Given,
In triangle PQR ,
the measure of an exterior angle =115°
Measure of one of the opposite interior angles =35°

To find:Measure of another opposite interior angle. Let it be 'x'

Then ,

▪SUM OF TWO INTERIOR OPPOSITE ANGLES= MEASURE OF EXTERIOR ANGLE▪
=35+x=115°
=x=115- 35°
=x=80°

¤Therefore, the measure of another opposite interior angle = 80° ¤