Question

Two angles of a triangle have the same measure and the third one is 15 degrees greater than the measure of each of the other two. Find the measure of the LARGEST angle in the triangle.

The LARGEST angle has a measure of _____ degrees.

Answer 1

70°

Explanation:

The sum of the 3 angles in a triangle = 180°

let the equal angles be x then the third angle = x + 15

Sum the 3 angle and equate to 180

x + x + x + 15 = 180

3x + 15 = 180 ( subtract 15 from both sides )

3x = 165 ( divide both sides by 3 )

x = 55

Hence

The largest angle = x + 15 = 55 + 15 = 70°