document.write( "Question 702673: the largest angle is three times the smallest angle, and the smallest angle is 30 degrees less than the middle angle. What are the values of all three angles? \n" ); document.write( "
Algebra.Com's Answer #433097 by josgarithmetic(39626) ![]() You can put this solution on YOUR website! Let m = middle angle measure \n" ); document.write( "Let s = smallest angle \n" ); document.write( "Let L= largest angle\r \n" ); document.write( "\n" ); document.write( "the largest angle is three times the smallest angle (L=3s), and the smallest angle is 30 degrees less than the middle angle (s=m-30). What are the values of all three angles?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Those angles again, \n" ); document.write( "m \n" ); document.write( "s=m-30 \n" ); document.write( "L=3s\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "L=3(m-30) [by substitution]\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Requirement of a triangle, L+s+m=180 \n" ); document.write( "3(m-30)+(m-30)+m=180 \n" ); document.write( "Find m. \n" ); document.write( "Compute the other two angles' measures. \n" ); document.write( " \n" ); document.write( " |