Question

An exterior angle of a triangle is 100° and its interior opposite angles are equal to each other.
Find the measure of each angle of the triangle.​

Answer 1

Answer:

x = 50°

Step-by-step explanation:

Suppose (x) is each angle:

x + x = 100° (exterior angle)

2x = 100°

x = 100°/2

Answer 2

Answer:

let ABC be a triangle where the side BC is produce

Step-by-step explanation:

so,by theorem we have

A +B = 100....(1)

it is already given that the interior opposite angles are equal ie. A = b

so we can write b as A

so 2 <A =100

<A= 50

<B =50

angle sum property of triangle os 180

<A+<B + <C = 180

100 +<c =180

<C = 80

hence <A=50

<B=50

<C=80

hope it helps you a litle bit thanks