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?

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°