Question

find the measure of ∠xtu

Explanation:

Step1: Recall circle - angle property

The sum of angles around a point is 360°. But we can also find ∠XTU by adding the non - overlapping angles between X and U.

Step2: Identify relevant angles

We see that the angles between X and U are the 70° angle and the 66° angle (since 360°-(91° + 124°+45°+30°+70°)=360° - 360°=0, and we can find the angle we need by adding the angles on the arc from X to U. The angles on the arc from X to U are 70° and 66° (where 360°-(91° + 124° + 45°+30°)=66°). In another way, we know that ∠XTU=70° + 66° = 136°.

Answer:

C. 136°