Question

I WILL MARK BRAINIEST ZWYX and ZZYX are supplementary angles. mZWYX 8x + 12 and mZZYX = 2x + 28. What is mZWYX? mZWYX​

Answer 1

Answer:

124 degrees

Step-by-step explanation:

Look at the equation from the information they gave you. Supplementary angles always add up to 180 degrees, so make up the equation of 8x + 12 +  2x + 28 = 180. Simplify to get 10x + 40 = 180. Subtract 40 from both sides to get 10x = 140. Divide both sides by 10, and you will get x=14. Substitute the value of 10 into the variable x in the angle ZWYK to get 8(14) + 12. This will simplify into 112 + 12, which will eventually get you 124 degrees.

Answer 2

Answer:

mZWYX = 124°

Step-by-step explanation:

Since angles ZWYX and ZZYX are supplementary it means that the sum of their angles sum up to 180°

To find mZWYX we must first find x

To find x add ZWYX and ZZYX and equate them to 180 to find x

That's

ZWYX + ZZYX = 180

8x + 12 + 2x + 28 = 180

10x + 40 = 180

10x = 180 - 40

10x = 140

Divide both sides by 10

x = 14°

From the question

mZWYX = 8x + 12

Substitute the value of x into the expression

We have

mZWYX = 8(14) + 12

= 112 + 12

We have the final answer as

mZWYX = 124°

Hope this helps you