Question

what is ( moverarc{rs} )?
there is a circle with center at a blue dot. points p, q, r, s are on the circumference. the arc from q to r is 120°, from q to p is 60°, from p to s is 50°. we need to find ( moverarc{rs} ).

Explanation:

Step1: Recall the total degrees in a circle

A full circle has \( 360^\circ \).

Step2: Sum the known arc measures

The known arcs are \( 60^\circ \), \( 120^\circ \), and \( 50^\circ \). Their sum is \( 60 + 120 + 50 = 230^\circ \).

Step3: Calculate the unknown arc \( \overset{\frown}{RS} \)

Subtract the sum of known arcs from \( 360^\circ \): \( 360 - 230 = 130^\circ \).

Answer:

\( 130 \)