Question

One of the exterior angle of a triangle is 100 degree the interior opposite angle are equal to each other .Find the measure of these equal interior opposite angle.​

Answer 1

Answer:

50°

Step-by-step explanation:

Sum of interior angle = exterior angle

Let the angle is x

2 angles are equal

Then, x+x=100

2x=100

X=100/2

X=50

Therefore the angle is 50°

Answer 2

In triangles exterior angle is equal to sum two opposite interior angles , so let us take the opposite interior angles of the given exterior angle as “a” and “b”. Now , a+b=100degrees As they given that opposite interior angles of the given exterior angle are equal so, a=b => a+a=100degrees. => 2a=100 degrees. => a= 100 divided by 2. => a= 50 degrees = b