Question

Question 4. ZK and L are complementary angles. If mZK = (4x)* and m_L = (x – 5)º check the measures that represent the two angles.

Answer 1

If ∠K and ∠L are complementary, then:

m∠K + m∠L = 90°

Substituting with m∠K = 4x and m∠L = x - 5, we get:

4x + (x - 5) = 90

(4x + x) - 5 = 90

5x = 90 + 5

x = 95/5

x = 19

And the measures of the angles are:

m∠K = 4*19 = 76°

m∠L = 19 - 5 = 14°