Question

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

Answer 1

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°