Step 1
Find the angle of the major arc.
Major arc angle = 360 - x
Step 2
Then find x.
[tex]\begin{gathered} 65\text{ = }\frac{major\text{ angle - minor angle}}{2} \\ 65\text{ = }\frac{360\text{ -x - x}}{2} \\ \text{Cross multiply} \\ 65\text{ x 2 = 360 - 2x} \\ 130\text{ = 360 - 2x} \\ 2x\text{ = 360 - 130} \\ 2x\text{ = 230} \\ x\text{ = }\frac{230}{2} \\ x=115^o \end{gathered}[/tex]
