A ∠A and ∠ B ∠B are supplementary angles. If m ∠ A = ( 8 x + 6 ) ∘ ∠A=(8x+6) ∘ and m ∠ B = ( 7 x + 24 ) ∘ ∠B=(7x+24) ∘ , then find the measure of ∠ B ∠B.

< B = 94

Step-by-step explanation:

Remark

You should edit the question. The way you wrote it, , it looks like you have to square two binomials. That isn't the way it is given I don't think. You are told that A and B are supplementary. That means

A+B = 180

Equation

(8x + 6) + (7x + 24) = 180          Remove the brackets

Solution

8x + 6 + 7x + 24 = 180              Collect like terms

15x + 30 = 180                           Subtract 30 from both sides

15x = 180 - 30

15x = 150                                   Divide by 15

x = 150 / 15

x = 10

Answer

What you need is <B

<B = 7x + 24

<B = 7*10 + 24

<B = 70 + 24

<B = 94

x = 3 ± √(5+y)