Question

If angle JKL and angle MNP are complementary, and angle JKL=2x-3 and angle MNP=5x+2, what are the measures of the two angles individually?

Answer 1

When you say that two angles are complementary, that simply means that the sum of those individual angles is equal to 90°. Thus, the sum of ∠JKL and ∠MNP is 90°.

(2x - 3) + (5x + 2) = 90
7x -1 = 90
7x = 91
x = 91/7 = 13

∴
∠JKL = 2(13) - 3 = 23°
∠MNP = 5(13) + 2 = 67°