Question

I don’t know how to do this please help me. It’s for regular geometry.

Answer 1

INFORMATION:

We have the next circle

And we must find x if m∠VXW = 65° and m arcV2 = (10x - 50)°

STEP BY STEP EXPLANATION:

To find x, we need to use that m∠VXW is a central angle, so m arcV2 = m∠VXW

Then, we can state the next equation replacing m∠VXW = 65° and m arcV2 = (10x - 50)°

`\begin{gathered} (10x-50)\degree=65\degree \\ \end{gathered}`

Finally, solving for x

`\begin{gathered} (10x-50)°=65\degree \\ 10x-50=65 \\ 10x=65+50 \\ x=(115)/(10) \\ x=11.5 \end{gathered}`

ANSWER:

x = 11.5