Question

Circle below has center M. Suppose that m KL = 44°. Find the following.

Answer 1

`\begin{gathered} m\angle KJL=22^(\circ) \\ m\angle KML=22^(\circ) \end{gathered}`

1) This is a case in which inscribed angles intercept an arc. So we can write out the following about the measure of ∠KJL

`\begin{gathered} m\angle KJL=(1)/(2)mKL \\ m\angle KJL=(1)/(2)(44) \\ m\angle KJL=22^(\circ) \\ m\angle KML=(1)/(2)mKL \\ m\angle KML\cong m\angle KJL \end{gathered}`

Note that in this case, the same case applies to both angles.