document.write( "Question 586569: if the congruent angles of an isosceles triangle each measure 41 degrees what is the measure of the third angle? \n" ); document.write( "

Algebra.Com's Answer #373801 by tw23279(14) $\"\"$ $\"About$

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So since we know that those angles are congruent and congruent angels are equal in measure, we can set up an equation.
\n" ); document.write( "Using the theorem \"The sum of the interior angles of a triangle is 180 degrees\", we can conclude that congruentangle1 + congruentangle2 + someotherangle = 180
\n" ); document.write( "Since the two angles are congruent in measure, we can combine like terms, ill name the congruent angles x and the other angle y.
\n" ); document.write( "2x + y = 180
\n" ); document.write( "By substitution:
\n" ); document.write( "2(41) + y = 180
\n" ); document.write( "82 + y = 180
\n" ); document.write( "y = 98 degrees \n" ); document.write( "

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