Question

40 points if answered

ZA and B are supplementary angles. If m A = (82 + 6)° and m
B = (72 +24), then find the measure of ZB.

Answer 1

Supplementary angles are angles that add up to 180 degrees (in other words, make up a straight line when you put them together).

So we can write: (8x+6) + (7x+24) = 180

Combine like terms: 15x+30 = 180

Subtract: 15x = 150

Divide: x = 10

If x = 10, and the measure of angle B can be written as 7x+24, then the measure of angle b is 7(10)+24, or 94.

Let me know if this helps!

Answer 2

94

Explanation:

Supplementary angles add to 180

8x+6 + 7x+24 = 180

Combine like terms

15x+30=180

Subtract 30 from each side

15x+30-30 = 180-30

15x= 150

Divide by 15

15x/15 = 150/15

x = 10

We want to find angle B

B = 7x+24 = 7*10+24 = 70+24 = 94