Question

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

Answer 1

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°