document.write( "Question 988110: I am stuck\r
\n" ); document.write( "\n" ); document.write( "Question: One angle of a triangle is 66 degrees, the third angle is 57 degrees more than 1/2 the measure of the second angle, the sum of all the angles is 180 degrees. What is the measure of the second angle? What is the measure of the third angle?
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Algebra.Com's Answer #608726 by MathLover1(20849)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "first angle of a triangle is \"alpha=highlight%2866+%29\"degrees\r
\n" ); document.write( "\n" ); document.write( "the second angle is \"beta\"\r
\n" ); document.write( "\n" ); document.write( "the third angle\"gamma\" is \"57\" degrees more than \"1%2F2\" the measure of the second angle \"beta\": so the third angle is \"gamma=%281%2F2%29beta%2B57\"\r
\n" ); document.write( "\n" ); document.write( "the sum of all is \"180\" degrees:\r
\n" ); document.write( "\n" ); document.write( "\"alpha%2Bbeta%2Bgamma=180\"....substitute \"66\" for \"alpha\" and \"%281%2F2%29beta%2B57\" for \"gamma\"\r
\n" ); document.write( "\n" ); document.write( "\"66%2Bbeta%2B%281%2F2%29beta%2B57=180\"......solve for \"beta\"\r
\n" ); document.write( "\n" ); document.write( "\"2beta%2F2%2B%281%2F2%29beta%2B123=180\"\r
\n" ); document.write( "\n" ); document.write( "\"%283%2F2%29beta=180-123\"\r
\n" ); document.write( "\n" ); document.write( "\"%283%2F2%29beta=57\"\r
\n" ); document.write( "\n" ); document.write( "\"3beta=57%2A2\"\r
\n" ); document.write( "\n" ); document.write( "\"3beta=114\"\r
\n" ); document.write( "\n" ); document.write( "\"beta=114%2F3\"\r
\n" ); document.write( "\n" ); document.write( "\"beta=38\"->the second angle\r
\n" ); document.write( "\n" ); document.write( "the third angle will be \"gamma=%281%2F2%29beta%2B57\"=>\"gamma=%281%2F2%29%2A38%2B57\"=>\"gamma=19%2B57\"=>\"gamma=76\"\r
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\n" ); document.write( "\n" ); document.write( "so,
\n" ); document.write( "the measure of the second angle is \"highlight%2838%29\" degrees\r
\n" ); document.write( "\n" ); document.write( "the measure of the third angle is \"highlight%2876%29\" degrees\r
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