Question

8. ZK and ZL are complementary angles. If mZK = (3x + 3)" and mZL = (10x - 4)", find the

measure of each angle.
Help

Answer 1

The angles are 24 , 66

Explanation:

If sum of two angles are 90, then they are complementary angles

m∠K + m∠L = 90

3x + 3 + 10x - 4 = 90

3x + 10x + 3 - 4 = 90 {Combine like terms}

13x - 1 = 90

Add 1 to both sides

13x = 90 + 1

13x = 91

Divide both sides by 13

x = 91/13

x = 7

m∠K = 3x + 3

= 3*7 + 3

= 21 + 3

= 24

m∠L = 10x - 4

= 10*7 - 4

= 70 - 4

m∠L = 66