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3 years ago

∠A and ∠B are adjacent. The sum of their measures is 92∘. ∠A measures (2x+5)∘. ∠B is three times the size of ∠A.

Mathematics

1 answer:

Ilia_Sergeevich [38]3 years ago

5 0

Answer:

Equation: 2x + 5 + 6x + 15 = 92

Solution: x = 9

m∠A =23° m∠B = 69°

Step-by-step explanation:

measure of ∠B = 3(2x + 5) = 6x + 15

The sum of the angles = 92 = 2x + 5 + 6x + 15

92 = 8x + 20

72 = 8x

x = 9

m∠A = 2(9) + 5 = 18 + 5 = 23

m∠B = 6(9) + 15 = 54 + 15 = 69

Check: 23 + 69 = 92 and 23(3) = 69

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