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what is ( moverarc{qs} )? ( moverarc{qs} = ) ( circ )

Question

what is ( moverarc{qs} )?
( moverarc{qs} = ) ( circ )

Explanation:

Step1: Recall the total degrees in a circle

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

Step2: Set up the equation

Let \(m\overarc{QS}=x\). We know one arc is \(150^{\circ}\) and another is \(70^{\circ}\). So \(x + 150^{\circ}+70^{\circ}=360^{\circ}\).

Step3: Solve for \(x\)

\(x=360^{\circ}-(150^{\circ} + 70^{\circ})\)
\(x=360^{\circ}-220^{\circ}\)
\(x = 140^{\circ}\)

Answer:

\(140\)