document.write( "Question 387197: try to draw or picture this in your head. there is a circle and 4 points going around it in order M, N, O, P. and point Q intersects lines MO and PN. I am given that angle MPN equals 42° and that arc MP equals 100°. I need to find the measure of angle MON and I dont know what to do \n" ); document.write( "
Algebra.Com's Answer #273710 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!

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document.write( "You don't even need to know the measure of arc PM.  All you need to notice\r\n" );
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document.write( "is that inscribed angle MPN and inscribed angle MON subtend the same arc MN.\r\n" );
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document.write( "Since the measure of an inscribed angle is 1/2 of its subtended arc,\r\n" );
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document.write( "both angles MPN and MON have measure of 1/2 of the measure or arc\r\n" );
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document.write( "MN which they subtend.  So they have equal measure.  Therefore the measure \r\n" );
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document.write( "of angle MON is also 42°.  It didn't require any calculations at all. \r\n" );
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document.write( "Edwin
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