document.write( "Question 600391: In an isosceles triangle, the sum of the two congruent angles is thirty less than half the other angle. Find the angles. \n" ); document.write( "

Algebra.Com's Answer #379322 by w_parminder(53) $\"\"$ $\"About$

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Let the congruent angles of the triangle are of measure X degrees
\n" ); document.write( "& the third angle is of measure Y degrees
\n" ); document.write( "So the angles of the triangle are X, X & Y\r
\n" ); document.write( "\n" ); document.write( "According to the question,the sum of the two congruent angles is thirty less than half the other angle
\n" ); document.write( "i.e.
\n" ); document.write( "X + X = $\"%28+Y%2F2+%29-30\"$
\n" ); document.write( "2X = $\"%28+Y-60+%29%2F2\"$
\n" ); document.write( "4X = Y - 60
\n" ); document.write( "OR Y = 4X + 60\r
\n" ); document.write( "\n" ); document.write( "as the sum of the angles of a triangle is 180 degrees, so
\n" ); document.write( "X + X + Y = 180
\n" ); document.write( "X + X + 4X + 60 = 180
\n" ); document.write( "6X + 60 = 180
\n" ); document.write( "6X = 180 - 60
\n" ); document.write( "X = 120/6
\n" ); document.write( "X = 20\r
\n" ); document.write( "\n" ); document.write( "so Y = 4(20) + 60 = 80 + 60 = 140\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So the angles are 20, 20 & 140 \n" ); document.write( "

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