Question

One of the exterior angles of a triangle is
80° and the interior opposite angles are
equal. What is the measure of each of
these two angles​

Answer 1

sum of two opposite interior angles=exterior angle

since, two opposite interior angles are equal

x+x=80°

2x=80°

x=80/2

x=40°

So, two opposite interior angles=40° and 40°

extra information

other angle =180-80°=100°

Hope it helps you please make my answer as brainliest

Answer 2

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Let us assume that the measures of the interior opposite angle be x.

Also,

☢ Measure of the exterior angle = Sum of the measures of the interior opposite angle.

So,

$\implies$ x + x = 80

$\implies$ 2x = 80

$\implies$ x = 80/2

$\implies$ x = 40°

Hence, the measures of both the interior opposite angles is 40° each!!

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