Answer:
Arc KL [tex]=23[/tex]
Arc OM [tex]=113[/tex]
Step-by-step explanation:
We know that Angle NPM is equal to 90 degrees.
Therefore, Angle KPM is also equal to 90 degrees.
We are told that Arc LM is equal to 67.
Thus, the measure for Arc KL is equal to [tex]90-67=23[/tex]
We also know that Angle OPN is equal to Angle KPL.
Therefore, the measure of Arc ON[tex]=23[/tex]
Using that information, we know that Arc OM is equal to [tex]90+23=113[/tex]
Hope I helped!
