Question

what is the measure of $overparen{jkl}$? 70° a. 220° b. 110° c. 140° d. 290°

Explanation:

Step1: Recall arc - angle relationship

The measure of an arc is twice the measure of the inscribed angle that subtends it. The inscribed angle $\angle{JLK}=70^{\circ}$.

Step2: Calculate the measure of arc $JK$

The measure of arc $JK = 2\times\angle{JLK}=2\times70^{\circ}=140^{\circ}$.

Step3: Recall the measure of a full - circle

The measure of a full - circle is $360^{\circ}$.

Step4: Calculate the measure of arc $JKL$

The measure of arc $JKL=360^{\circ}-\text{measure of arc }JK$. So, the measure of arc $JKL = 360^{\circ}- 140^{\circ}=220^{\circ}$.

Answer:

A. $220^{\circ}$