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°