Question

segments rt and su are diameters of circle o. what is msrt? 258° 266° 274° 282°

Explanation:

Step1: Recall circle - arc relationship

The sum of the measures of the arcs of a circle is 360°.

Step2: Identify known arcs

We know that arc $\overset{\frown}{RT}$ is a semi - circle, so $m\overset{\frown}{RT}=180^{\circ}$, and one of the non - semi - circle arcs, say the arc adjacent to $\overset{\frown}{SRT}$ has a measure of 94°.

Step3: Calculate $m\overset{\frown}{SRT}$

$m\overset{\frown}{SRT}=360^{\circ}-94^{\circ}=266^{\circ}$

Answer:

266°