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Points L and M lie on a circle centered at \(O,\) \(LM\) and arc LM is \(75^\circ.\) The circle passing through points O, L, and M is drawn. Find the measure of arc \(LOM\) on the smaller circle, in degrees.

 

 

 Apr 9, 2020
edited by Guest  Apr 9, 2020
 #1
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Note  that  LOM  will  be  an inscribed  angle  in the smaller circle

 

Since  its measure  = 75°....the  minor arc  LM in the smaller circle  will measure  twice this  = 150°

 

So....arc LOM in the smaller circle  =  360  - 150  =   210°

 

 

cool cool cool

 Apr 9, 2020
 #2
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thx so much!!!smiley

 Apr 9, 2020

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