If angle 1 and angle 2 are complementary, what measures the angles when m, 1=4x-7 and m<2=x+12

M∠1 = 4x - 7

m∠2 = x + 12

Because the two angles are complementary, therefore

4x-7 + x+12 = 90°

5x + 5 = 90

5x = 90 - 5 = 85

x = 85/5 = 17

Therefore

m∠1 = 4 (17) - 7 = 61°

m∠2 = 17 + 12 = 29°

Answer: 61° and 29°