Question

WXY and YXZ are supplementary angles. m WXY=8x+12 m YXZ=2x+28. what is YXZ?

Answer 1

YXZ= 56 degrees

Explanation:

Add the angles and set them equal to 180. Then solve for x. then Pug it in 2x+28.

Answer 2

Answer:
`\angle{YXZ}=56^(\circ)`

Explanation:

Given : ∠WXY and ∠YXZ are supplementary angles.

∠WXY= 8x+12 and ∠YXZ = 2x+28

We know that the pair of supplementary angles are added up to 180°.

According to the question, we have

`\angle{WXY}+\angle{YXZ}=180^(\circ)\\\\\Rightarrow\ 8x+12+2x+28=180\\\\\Rightarrow\ 10x+40=180\\\\\Rightarrow\ 10x=180-40\\\\\Rightarrow\ 10x=140\\\\\Rightarrow\ x=(140)/(10)=14`

Now,
`\angle{YXZ}=2(14)+28=56^(\circ)`

Hence, the measure of
`\angle{YXZ}=56^(\circ)`.