Question

One angle of an isosceles triangle is three times the

measure of each of the other two angles. Find the
measures of the angles.

Answer 1

36°, 36°, 108°

Explanation:

let the 2 congruent base angles of the isosceles triangle be x

Then the vertex angle is 3x

Sum the angles and equate to 180 ( angle sum of triangle )

x + x + 3x = 180

5x = 180 ( divide both sides by 5 )

x = 36 , then

3x = 3 × 36 = 108

The angles are 36°, 36° and 108°

Answer 2

Answer: largest angle: 108°, smallest angle: 36°