Question

Two angles of a triangle have the same measure and the third one is 45 degrees greater than the measure of each of the other two. Find the measure of the LARGEST angle

Answer 1

Answer: 90

Explanation:

Let x be the measure of the first angle , this means that x will be the measure of the second angle and x + 45 will be the measure of the third angle.

The sum of interior angle of a triangle = 180 , that is

x + x + x + 45 = 180

3x + 45 = 180

3x = 180 - 45

3x = 135

x = 135/3

x = 45

Therefore the largest angle = 45 +45 =90