document.write( "Question 494025: How do you solve: angle ABD and angle BDE are supplementary. Find the measure of both angles. The problem is... Angle ABD=(3x12), angle BDE=(7x-32) \n" ); document.write( "
Algebra.Com's Answer #335857 by cleomenius(959)\"\" \"About 
You can put this solution on YOUR website!
I didn't know if the first angle was 3x + 12 or 3x - 12, so I worked it out both ways.\r
\n" ); document.write( "\n" ); document.write( "3x + 12 + 7x - 32 = 180
\n" ); document.write( "10x - 20 = 180
\n" ); document.write( "10x = 200.
\n" ); document.write( "x = 20
\n" ); document.write( "(20)3 = 60 + 12 = 72
\n" ); document.write( "(20)7 = 140 - 32 = 108
\n" ); document.write( "===================================
\n" ); document.write( "3x - 12 + 7x - 32 = 180
\n" ); document.write( "10x - 44 = 180
\n" ); document.write( "10x = 224
\n" ); document.write( "x = 22.4
\n" ); document.write( "3(22.4) = 67.2 - 12 = 55.2
\n" ); document.write( "7(22.4) = 156.8 - 32 = 124.8
\n" ); document.write( "======================================
\n" ); document.write( "Cleomenius.
\n" ); document.write( "
\n" );