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Points L and M lie on a circle centered at O, and the measure of arc LM on this circle is 72 degrees.  The circle passing through points O, L, and M is drawn.  Find the measure of arc LPM on the larger circle, in degrees.

 

 Jun 3, 2021
 #1
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Arc LPM = 360º - 72º   

 

Let me turn this not-so-smart question into an interesting one:

 

Points L and M lie on a circle centered at O, and the measure of arc LM on this circle is 72 degrees.  The circle passing through points O, L, and M is drawn.  Find the measure of arc LOM on the larger circle, in degrees.

 Jun 3, 2021

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