Question

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

Explanation:

Step1: Recall circle - arc relationship

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

Step2: Identify the given arc measure

The measure of the minor - arc $\widehat{JL}$ is given as 70°.

Step3: Calculate the measure of $\widehat{JKL}$

The measure of $\widehat{JKL}$ is the major - arc. We know that the measure of a major - arc is 360° minus the measure of the corresponding minor - arc. So, $m\widehat{JKL}=360^{\circ}-m\widehat{JL}$. Substituting $m\widehat{JL} = 70^{\circ}$, we get $m\widehat{JKL}=360^{\circ}-70^{\circ}=290^{\circ}$.

Answer:

B. 290°