Question

Use the relationship among the three angles of any triangle to solve.

Two angles of a triangle have the same measure and the third angle is 66° greater than the measure of the other two.

Find the measure of each angle.

1. Measure of the top angle is (?)

2. Measure of the bottom left angle is (?)

3. Measure of the bottom right angle is (?)​

Answer 1

All angles add up to 180

(x+66)+x+x = 180
3x + 66 = 180
3x = 114
x = 38

Top angle: 38 + 66 = 104
Left bottom: 38
Right bottom: 38

Answer 2

1. 104

2. 38

3. 38

Explanation:

3x + 66 = 180

3x = 114

x = 38