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

$180=66+x+(57+\frac{x}{2})$
$360=132+2x+114+x$
$360=246+3x$
$3x=114$
$x=38$

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

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