need to know what b is

Question

∠A and ∠B are complementary angles. If m∠A=(2x+18)∘ and m∠B=(6x+8)∘, then find the measure of ∠B.

Answer 1

∠A and ∠B are complementary angles. If m∠A=(2x+18)∘ and m∠B=(6x+8)∘, then find the measure of ∠B.

First, note the important information that they give you. The two angles are complementary, meaning their measurements add up to 90.

We know that A=2x+18. We do not know B, so we can say that B=x

You would set up the problem like this.

A+B=90

So, when we plug in the values we know, we have:

2x+18+x=90.

Now all you have to do is solve for X to get the measure of angle B. Then, subtract that number from 90 to give you the measure of angle A.

Answer 2

Complementary angles mean the total angles add up to 90 degrees.

m∠A + m∠B = 90

(2x + 18) + (6x + 8) = 90

8x + 26 = 90

8x = 64

x = 8

Plug in 8 for x to find m∠B.

m∠B = 6(8) + 8 = 48 + 8 = 56°