Question

question 8 of 10
what is the measure of \\(\overarc{jl}\\)?
a. \\(64^\circ\\)
b. \\(32^\circ\\)
c. \\(16^\circ\\)
d. \\(148^\circ\\)

Explanation:

Step1: Recall inscribed angle theorem

The measure of an inscribed angle is half the measure of its intercepted arc.

Step2: Calculate arc $\overset{\frown}{JL}$

Let $m\overset{\frown}{JL}$ be the measure of arc $JL$. The inscribed angle $\angle JKL = 32^\circ$, so:
$$m\overset{\frown}{JL} = 2 \times m\angle JKL$$
$$m\overset{\frown}{JL} = 2 \times 32^\circ = 64^\circ$$

Answer:

A. $64^\circ$