Question

∠A and ∠ B ∠B are supplementary angles. If m ∠ A = ( x + 15 ) ∘ ∠A=(x+15) ∘ and m ∠ B = ( x − 13 ) ∘ ∠B=(x−13) ∘ , then find the measure of ∠ B ∠B.

Answer 1

∠B = 76°

Explanation:

Supplementary angles add up to 180 degrees, so we know that angles A and B add up to 180.

We can set up an equation and solve for x:

(x + 15) + (x - 13) = 180

Add like terms:

2x + 2 = 180

2x = 178

x = 89

Now, we can plug in 89 as x to find the measure of angle B:

x - 13

89 - 13

= 76

= 76°