Question

An exterior angle of a triangle is 72° and its two opposite interior angles are equal. Each of these equal angles is:
a) 72° b) 36° c) 38° d) 40°

Answer 1

Answer:

let x and y be the unknown angles

given, x=y

now, x+y=72(exterior angles property of triangle)

x+x=72(x=y)

2x=72

x=72/2

x=36

so, the unknown equal angles are 36