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A and B are complementary angles. If mA=(x+8)° and mB =(8x+1),
find the measure of A

1 Answer

4 votes

Answer:


\angle A=17\textdegree

Explanation:

We know that A and B are complementary angles. So, they must add up to 90°. As an equation:


\angle A+\angle B=90

Since we know their equations, substitute:


(x+8)+(8x+1)=90

Solve for x. Combine like terms on the left:


9x+9=90

Subtract 9 from both sides:


9x=81

Divide both sides by 9:


x=9

So, the value of x is 9.

We want to find A. So, let's use the equation for A:


\angle A=x+8

Substitute 9 for x:


\angle A=9+8

Add:


\angle A=17\textdegree

So, the measure of A is 17°.

User Adam Barney
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