Question

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

Answer 1

Answer:

$\angle A=17\textdegree$

Step-by-step 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°.