document.write( "Question 529002: the measure of the vertex angle of an isosceles triangle is one-fourth that of a base angle. What is the measure of each base angle and the measure of the vertex angle? Could you also explain how you got this answer? Thanks! \n" ); document.write( "
Algebra.Com's Answer #349472 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
the measure of the vertex angle of an isosceles triangle is one-fourth that of a base angle. What is the measure of each base angle and the measure of the vertex angle?
\n" ); document.write( "-----
\n" ); document.write( "Let each base angle be \"4x\"
\n" ); document.write( "Then the vertex angle is \"x\"
\n" ); document.write( "----
\n" ); document.write( "Equation:
\n" ); document.write( "4x + 4x + x = 180
\n" ); document.write( "9x = 180
\n" ); document.write( "x = 20 degrees (size of the vertex angle)
\n" ); document.write( "=====================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "=====================
\n" ); document.write( "
\n" );