In ∆ABC, angle A and angle B have the same measure. The measure of angle C is twice the measure of angle A. Find the measures of each angle in the triangle.

Answer 1

The sum of the angles in a triangle is 180°

Since

A=B

C=2A

The sum of angles in triangle ABC can be written in terms of A only

2A + A + A = 180°

4A=180

Now just solve for A

A=180/4

A=45°

A=B=45°

2A=C=2(45°)=90°