Question

What is the measure of

Answer 1

We can see that angles WXZ and YXZ are supplementary, this means that

`\angle WXZ+\angle YXZ=180`

now, since angle WXZ=5x and angle YXZ=3x, we have

`5x+3x=180`

which is equal to

`\begin{gathered} 8x=180 \\ x=(180)/(8) \\ x=22.5 \end{gathered}`

Now, if we substitute this values into angle WXZ, we obtain

`\begin{gathered} \angle WXZ=5(22.5) \\ \angle WXZ=112.5 \end{gathered}`

that is, angle WXZ is equal to 112.5 degrees