Question

help pls! How many degrees are in the minor arc? a) 32.5°b) 115°c) 65°d) missing information to answer

Answer 1

Step 1

Find the angle of the major arc.

Major arc angle = 360 - x

Step 2

Then find x.

`\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{ = }(230)/(2) \\ x=115^o \end{gathered}`