Question

Find the measure of the arc or angle indicated. Find mBCD

Answer 1

Answer:

measue of arc LK = 192° (option D)

Step-by-step 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:

`intercepted\text{ arc = 2\lparen inscribed angle\rparen}`

inscribed angle = 96°

intercepted arc = arc LK

`\begin{gathered} arc\text{ LK = 2\lparen96\degree\rparen} \\ \\ arc\text{ LK = 192\degree \lparen option D\rparen} \end{gathered}`