8. ZK and ZL are complementary angles. If mZK = (3x + 3)" and mZL = (10x - 4)", find the measure of each angle.
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The angles are 24 , 66

Step-by-step 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

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