For what value of x is <1 complementary to <2, ifm <1=5x+4 and m <2=7x+2 a. 3 b7. c. 1 d. 14.5

Complementary angles are angles whose sum is equal to 90°.

m∠1 = 5x + 4

m∠2 = 7x + 2

m∠1 + m∠2 = 90°.

5x + 4 + 7x + 2 = 90

12x + 6 = 90

12x = 90 - 6

12x = 84

12x / 12 = 84/12

x = 7 Choice B.

m∠1 = 5x + 4 = 5 (7) + 4 = 35 + 4 = 39

m∠2 = 7x + 2 = 7 (7) + 2 = 49 + 2 = 51

39 + 51 = 90

90 = 90