Question

The measure of the second angle of a triangle is three times the measure of the first. The measure of the third angle in the triangle is 12 degrees less than twice the measure of the first angle. Find the measures of each angle in the triangle.

Answer 1

First angle:

x =32

Second angle:

3x

3(32) = 96

Third angle:

2x - 12

2(32) -12 =52

Explanation:

x + 3x + 2x - 12 = 180 The sum of the interior angles of a triangle is 180

6x -12 = 180 Combine the x terms

6x = 192 add 12 to both sides

x = 32

Check: 52 + 96 + 32 = 180