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This figure shows circle C with diameter LM and inscribed ∠LMN . 

m∠LMN=32°

 

what is the measure of arc LMN?

 

 

 

 

 Mar 6, 2018
 #1
avatar+18324 
+1

Arcs of inscibed angles cover twice as many degrees as the angle.

The smaller arc is 64 degrees

the larger LMN is 360 - 64 = 296 degrees

 Mar 6, 2018
 #2
avatar+100516 
+1

LMN  is an inscribed angle in a circle

 

The measure of its intercepted arc  (LN)  is twice the measure of the angle  =  64°

 

So....the measure of arc  LMN  =  360 - 64   =  296°

 

 

cool cool cool

 Mar 6, 2018

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