Question

One of the exterior angles of a triangle is 100° and the interior opposite angle are equal to each other. What is the measure of each of these two angle?

Answer 1

here using exterior angle property
which means exterior angle is equal to the sum of two opposite angle inside a triangle
and both interior opposite angle are equal
therefore
100=angleA+ angle B
100= 2angle A
100/2= anglesA
50= angle A
and angle B =50

Answer 2

Answer:

50° each

Step-by-step explanation:

Let two opposite interior angles be x each (both angles are equal)

Now,

We know that

Sum of Opposite Interior Angles = Measure of Exterior Angle

∴ x + x = 100

2x = 100

x = 50

∴ Measure of each opposite interior angle is 50°