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∠A and ∠B are complementary angles. The measure of ∠A is twice the measure of ∠B. Write and equation to represent the complementary angle relationship between ∠A and ∠B. Use the equation to find the measure of ∠A and ∠B. Show all of your work

User Xhallix
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2 Answers

6 votes

Answer:

∠A = 60

∠B = 30

Complementary angles are angles that add up to 90 degrees, and the measure of ∠A is twice as much as ∠B

60 + 30 = 90

60 / 30 = 2

60 / 2 = 30

Explanation:

The other answer is still correct, just thought I'd make it simpler.

Hope this helps!

User Netdjw
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3.9k points
5 votes

Answer:


\text{Equation: }2\angle B+\angle B=90\\\angle A=60^(\circ),\\\angle B=30^(\circ)

Explanation:

Complimentary angles are angles that add up to 90 degrees. Therefore, we can write the following system of equations:


\begin{cases}\angle A=2\angle B,\\\angle A+\angle B=90\end{cases}

Solving, we obtain the equation:


2\angle B+\angle B=90,\\3\angle B=90,\\\angle B=\boxed{30^(\circ)}

Plugging this back in to our first equation, we get:


\angle A=2(30)=\boxed{60^(\circ)}

User Ambrish Dhaka
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