Question

One angle of a triangle has a measure of 66. The measure of the third angle is 57 more than 1/2 the measure of the second angle. The sum of the angle measures of a triangle is 180. What is the measure of the second angle? What is the measure of the third angle?

Answer 1

`180=66+x+(57+(x)/(2))`

`360=132+2x+114+x`

`360=246+3x`

`3x=114`

`x=38`

The second angle is 38deg. The third angle is 76deg.

To check: 66+38+76=180
180=180 ---> Checks TRUE.