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)°
[tex]\begin{gathered} (10x-50)\degree=65\degree \\ \end{gathered}[/tex]
Finally, solving for x
[tex]\begin{gathered} (10x-50)°=65\degree \\ 10x-50=65 \\ 10x=65+50 \\ x=\frac{115}{10} \\ x=11.5 \end{gathered}[/tex]
ANSWER:
x = 11.5
