Answer:
measue of arc LK = 192° (option D)
Explanation:
Given:
A circle with angle LJK = 96°
To find:
the measure of the indicated angle
∠LJK and arc LK both have arc LK in common
To get the indicated angle, we will apply the formula:
[tex]intercepted\text{ arc = 2\lparen inscribed angle\rparen}[/tex]
inscribed angle = 96°
intercepted arc = arc LK
[tex]\begin{gathered} arc\text{ LK = 2\lparen96\degree\rparen} \\ \\ arc\text{ LK = 192\degree \lparen option D\rparen} \end{gathered}[/tex]
