Question

what is ( moverarc{st} )?
( moverarc{st} ) = (square)°

Explanation:

Step1: Recall the total degrees in a circle

A circle has \(360^{\circ}\).

Step2: Set up the equation

Let \(m\overarc{ST}=x\). Then \(60 + 150+50+x=360\).

Step3: Simplify the left - hand side

\(60 + 150+50+x=(60 + 150+50)+x=260 + x\).

Step4: Solve for \(x\)

Subtract \(260\) from both sides of the equation \(260 + x=360\). So \(x=360 - 260\).

Answer:

\(100\)