document.write( "Question 1022400: The largest angle in a triangle is 5 time the measure of the smallest angle. The middle-sized angle is 20 degree greater than twice the measure of the smallest angle. Find the measure of the three angles?\r
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Algebra.Com's Answer #638095 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! The largest angle in a triangle is 5 time the measure of the smallest angle. \n" ); document.write( " The middle-sized angle is 20 degree greater than twice the measure of the smallest angle. \n" ); document.write( " Find the measure of the three angles? \n" ); document.write( ": \n" ); document.write( "Three angles, a, b, c \n" ); document.write( ": \n" ); document.write( "\"The largest angle in a triangle is 5 time the measure of the smallest angle.\" \n" ); document.write( "a = 5c \n" ); document.write( "\" The middle-sized angle is 20 degree greater than twice the measure of the smallest angle.\" \n" ); document.write( "b = 2c + 20 \n" ); document.write( "we know \n" ); document.write( " a + b + c = 180 \n" ); document.write( "replace a and b \n" ); document.write( "5c + (2c+20) + c = 180 \n" ); document.write( "5c + 2c + c = 180 - 20 \n" ); document.write( "8c = 160 \n" ); document.write( "c = 160/8 \n" ); document.write( "c = 20 degrees is the smallest angle \n" ); document.write( "then \n" ); document.write( "a = 5(20) \n" ); document.write( "a = 100 degrees is the largest \n" ); document.write( "and \n" ); document.write( "b = 2(20) + 20 \n" ); document.write( "b = 60 degrees \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check 100 + 60 + 20 = 180\r \n" ); document.write( "\n" ); document.write( " Find the measure of the three angles? \n" ); document.write( " |