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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 78. The circle passing through points O, L, and M is drawn. Find the measure of arc LOM on the smaller circle, in degrees.

 

 Aug 28, 2021
 #1
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360  - 150  =   210 degrees

 Aug 28, 2021
 #2
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I've already tried it, but it's incorrect.

Guest Aug 28, 2021
 #4
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how the c**p did you get 150. the angles not even 75

MathProblemSolver101  Aug 28, 2021
 #5
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Smaller circle center => Q

 

∠LOQ = ∠MOQ = 1/2(arc 78º)

 

∠LQO = ∠MQO = 180 - 2(39) = 102

 

Arc LOM = 2 * 102 = 204 degrees

 Aug 29, 2021
edited by civonamzuk  Aug 29, 2021

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