Question

Two angles of a triangle are same size. The third angle is 12 degrees smaller than the first angle. Find the measure of the third angle.

Answer 1

44°

Explanation:

Given that :

Two angles are equal sized;

Let the angle = x

Third angle = 12 smaller than first, x - 12

The measure of the third angle ;

Sum of angles in a triangle = 180°

First + second + third angle = 180°

x + x + (x - 12) = 180

2x + x - 12 = 180

3x = 180 - 12

3x = 168°

x = 56°

The third angle :

(x - 12) = 56 - 12 = 44°