Question

Angles A and B are complementary. If mL A = 2x + 22 and mL B = 46 . Solve for x to find the measure of L and A

Answer 1

x = 11

∡A = 44°

Explanation:

2x+22 + 46 = 90

2x + 68 = 90

2x = 22

x = 11

∡A = 2(11)+22 = 44°

Answer 2

x = 11

m∠A = 44°

Explanation:

Complimentary angles total 90

(2x + 22) + 46 = 90

Subtract 46 from both sides

2x + 22 = 44

Subtract 22 from both sides

2x = 22

Divide both sides by 2

x = 11

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m∠A = 2x + 22

m∠A = 2(11) + 22

m∠A = 44°