One angle of a triangle has a measure of 66. The measure of the third angle is 57 more than half the measure of the second angle. The sum of the angle measures of a triangle is 180

1st angle → ∠ A = 66

2nd angle →∠ B = x

3rd angle → ∠ C = 57 + x/2

A + B + C = 180°

66°+x°+57°+x/2 = 180°

Solve for x and you will find x = 38°

So, the 1st Angle = 66°

the 2nd = 38°

the 3rd = 57+38/2 = 76°

Proof: 66+38+76 = 180°