document.write( "Question 973151: In a quadrilateral, the sum of the measures of all the four angles is 360 degrees. Suppose a quadrilateral has two angles that are equal. Also a third angle is equal to the sum of the two equal angles. The fourth is 60 degrees less than twice the sum of the other three angles. Find the measures of the angles in the quadrilateral. \n" ); document.write( "

Algebra.Com's Answer #595400 by MathTherapy(10552) $\"\"$ $\"About$

You can put this solution on YOUR website!
In a quadrilateral, the sum of the measures of all the four angles is 360 degrees. Suppose a quadrilateral has two angles that are equal. Also a third angle is equal to the sum of the two equal angles. The fourth is 60 degrees less than twice the sum of the other three angles. Find the measures of the angles in the quadrilateral.
\n" ); document.write( "

Let measure of each of the 2 equal angles, be A
\n" );
document.write( "Then sum of the 2 equal angles = 2A
\n" );
document.write( "Third angle: 2A
\n" );
document.write( "Fourth angle: 2(A + A + 2A) - 60, or 2(4A) - 60, or 8A - 60
\n" );
document.write( "This results in: A + A + 2A + 8A - 60 = 360
\n" );
document.write( "12A - 60 = 360
\n" );
document.write( "12A = 360 + 60
\n" );
document.write( "12A = 420
\n" );
document.write( "A, or measure of each equal angle = , or 
\n" );
document.write( "Measure of 3rd angle: 2(35), or 
\n" );
document.write( "Measure of 4th angle: 8(35) - 60, or 280 - 60, or  \n" );
document.write( "

\n" );