document.write( "Question 829713: In triangle MNO, m∠M is equal to m∠N, and m∠O is 5 more than three times m∠N. What is the measure of each angle? \n" ); document.write( "
Algebra.Com's Answer #500140 by JulietG(1812)![]() ![]() You can put this solution on YOUR website! How many degrees in a triangle? 180 \n" ); document.write( "We're given the following: M = N; O = 3N + 5 \n" ); document.write( "The three angles together = 180. M + N + O = 180 \n" ); document.write( "Substitute the values we're given. \n" ); document.write( "N (remember, M=N) + N + (3N+5) = 180 \n" ); document.write( "Add the Ns \n" ); document.write( "N+N+3N+5 = 180 \n" ); document.write( "5N + 5 = 180 \n" ); document.write( "Subtract 5 from each side. \n" ); document.write( "5N = 180 - 5, or 175 \n" ); document.write( "Divide each side by 5. \n" ); document.write( "N = 175 / 5, or 35 \n" ); document.write( ". \n" ); document.write( "Let's plug it back in to make certain. \n" ); document.write( "Angle M 35 + Angle N 35 + Angle O ([3*35]+5) = 180 \n" ); document.write( "35+35+110 does indeed equal 180. \n" ); document.write( " |