document.write( "Question 248489: The sum of the measures of any triangle is 180 degrees. Find the angle measures of a triangl if the second angle measures 10 degerees less than twice the first, and the third angle measures 25 degrees more than the second. \n" ); document.write( "
Algebra.Com's Answer #181108 by oberobic(2304)![]() ![]() ![]() You can put this solution on YOUR website! You have 3 angles: a, b & c. \n" ); document.write( "a + b + c = 180 \n" ); document.write( ". \n" ); document.write( "To define the equations, you can just start with a. \n" ); document.write( "a = ? \n" ); document.write( ". \n" ); document.write( "b = 2a - 10 (twice a minus 10) \n" ); document.write( ". \n" ); document.write( "c = b + 25 (25 more than b) \n" ); document.write( ". \n" ); document.write( "Substitute for b \n" ); document.write( "c = (2a-10) + 25 \n" ); document.write( ". \n" ); document.write( "Now substitute back into a+b+c=180 \n" ); document.write( "a + (2a-10) + (2a-10+25) = 180 \n" ); document.write( ". \n" ); document.write( "Eliminate the parentheses \n" ); document.write( "a + 2a - 10 + 2a - 10 + 25 = 180 \n" ); document.write( ". \n" ); document.write( "Combine like terms \n" ); document.write( "5a + 5 = 180 \n" ); document.write( ". \n" ); document.write( "Subtract 5 from both sides \n" ); document.write( "5a = 175 \n" ); document.write( ". \n" ); document.write( "Divide both sides by 5 \n" ); document.write( "a = 35 \n" ); document.write( ". \n" ); document.write( "Substitute into the equation for b. \n" ); document.write( "b = 2a -10 = 2*35 - 10 = 70 - 10 = 60 \n" ); document.write( ". \n" ); document.write( "Add 25 to b to get c. \n" ); document.write( "c = 60 + 25 = 85 \n" ); document.write( ". \n" ); document.write( "Check by adding them up. \n" ); document.write( "35 + 60 + 85 = 180 \n" ); document.write( "Done. \n" ); document.write( " |