Question

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

Answer 1

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.