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what is the measure of $widehat{jk}$? a. $41^{circ}$ b. $45^{circ}$ c. …

Question

what is the measure of $widehat{jk}$? a. $41^{circ}$ b. $45^{circ}$ c. $29^{circ}$ d. $37^{circ}$

Explanation:

Step1: Recall central - angle theorem

The measure of an arc is equal to the measure of its central angle.

Step2: Identify central angle for arc $\widehat{JK}$

The central angle for arc $\widehat{JK}$ is $\angle{JLK}$, which is given as 37°. So the measure of arc $\widehat{JK}$ is 37°.

Answer:

D. 37°