document.write( "Question 1207174: In an isosceles triangle,the measure of one base angle is 15 degrees more than twice the measure of the vertex angle. Find the measures of all three angles \n" ); document.write( "

Algebra.Com's Answer #844896 by mananth(16946) $\"\"$ $\"About$

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\n" ); document.write( "In an isosceles triangle,the measure of one base angle is 15 degrees more than twice the measure of the vertex angle. Find the measures of all three angles\r
\n" ); document.write( "\n" ); document.write( "Let vertex angle be x deg\r
\n" ); document.write( "\n" ); document.write( "Base angles= (2x+15) deg ( base angles are equal in isoscles triangle)\r
\n" ); document.write( "\n" ); document.write( "x+(2x+15)+(2x+15) = 180 ( sum of angles of triangle)\r
\n" ); document.write( "\n" ); document.write( "5x+30 =180\r
\n" ); document.write( "\n" ); document.write( "5x = 180-30\r
\n" ); document.write( "\n" ); document.write( "5x =150
\n" ); document.write( "x=30\r
\n" ); document.write( "\n" ); document.write( "Vertex = 30 deg\r
\n" ); document.write( "\n" ); document.write( "Base angles = (2x+15)\r
\n" ); document.write( "\n" ); document.write( "Plug x\r
\n" ); document.write( "\n" ); document.write( "Base angles = 2*30+15= 75 \r
\n" ); document.write( "\n" ); document.write( "Vertex angle: 30 degrees
\n" ); document.write( "Base angles: 75 degrees\r
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\n" ); document.write( "\n" ); document.write( "Check
\n" ); document.write( "75+75+30 =180 \r
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