Question

a triangle has two equal angles each of which is equal to twice the remaining third angle find the angle of the triangle​

Answer 1

Step-by-step explanation:

Let the measure of third angle be x

According to the question, each of the remaining two angles are twice of x.

Third angle = x

Each equal angle = 2x

Sum of all angles of a triangle = 180°

x + 2x + 2x = 180°

5x = 180°

x = \dfrac{180 \degree}{5}x=

5

180°

x = 36°

Therefore, third angle = x = 36° and each equal angle = 2x = 2( 36° ) = 72°