∠A and ∠B are complementary angles. If m∠A = (6x + 22)° and m∠B = (7x + 16), then find the measure of B.

Arjen Poutsma asked Dec 18, 2023

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Arjen Poutsma asked Dec 18, 2023

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Answer:

Step-by-step explanation:

Definition: Two or more angles are complementary if they add up to 90 degrees.

Given that ∠A and ∠B are complementary angles, then:

$\begin{gathered} m\angle A+m\angle B=90^0 \\ (6x+22)^0+\mleft(7x+16\mright)^0=90^0 \end{gathered}$

We then solve for x.

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