Suppose A and B are complementary angles, m a = (3x+5) and m b = (2x-15). Solve for x and then find m a and m b

2 angles are complementary if the sum of their measures is 90°.

For example if m (P) = 41° and m (Q) = 49°, then P and Q are complementary.

Thus A and B are complementary means that m (A) = m (B) = 90°:

(3x+5°) + (2x-15°) = 90°

5x-10°=90°

5x=100°

x=20°

Thus

m (A) = 3x+5°=3 * 20°+5°=60°+5°=65°

m (B) = 2x-15°=2*20°-15°=40°-15°=25°