Question

A triangle is both isosceles and acute. If one angle of the triangle measures 36 degrees, what is the measure of the largest angle(s) of the triangle? What is the measure of the smallest angle(s) of the triangle?

Answer 1

let the vertex angle is 36°

the other two angles are equal

let the angle be x

sum of angle in triangle is 180

x + x + 36 = 180

2x = 180 - 36

2x = 144

x = 144/2

x = 72

largest angle is 72°

smallest angle is 36°