Question

Each of the angles of an isosceles triangle is twice as large as the third angle . What is the measure of each angle ?

Answer 1

36°, 72°, 72°

let x be the third angle then each of the other 2 angles is 2x

the sum of the angles in a triangle = 180° thus

x + 2x + 2x = 180

5x = 180 ( divide both sides by 5 )

x = $\frac{180}{5}$ = 36

the angles are 36°, 72° and 72°