Question

question 8 of 10 what is the measure of (widehat{jl})?

Explanation:

Step1: Recall inscribed - angle theorem

The measure of an inscribed angle is half the measure of its intercepted arc. Here, the inscribed angle $\angle{JKL}=84^{\circ}$, and the arc $\overset{\frown}{JL}$ is the intercepted arc.
Let the measure of arc $\overset{\frown}{JL}$ be $x$. Then, by the inscribed - angle theorem, $\angle{JKL}=\frac{1}{2}\overset{\frown}{JL}$.

Step2: Solve for the measure of the arc

We know that $84^{\circ}=\frac{1}{2}x$.
Multiply both sides of the equation by 2: $x = 2\times84^{\circ}=168^{\circ}$.

Answer:

A. $168^{\circ}$