# SOLUTION: If triangle ABC angle B is 8Degrees less than one half of angle A and angle C is 28 degress larger than angle A. Find the measues of the three angles of the triangle.

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Geometry -> SOLUTION: If triangle ABC angle B is 8Degrees less than one half of angle A and angle C is 28 degress larger than angle A. Find the measues of the three angles of the triangle.      Log On

 Ad: Over 600 Algebra Word Problems at edhelper.com Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help! Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

 Word Problems: Geometry Solvers Lessons Answers archive Quiz In Depth

 Question 177875: If triangle ABC angle B is 8Degrees less than one half of angle A and angle C is 28 degress larger than angle A. Find the measues of the three angles of the triangle.Found 2 solutions by Mathtut, solver91311:Answer by Mathtut(3670)   (Show Source): You can put this solution on YOUR website!let a,b,and c be the measure of angle A, B, and C,respectively : b=(1/2)a-8....eq 1 c=a+28........eq 2 a+b+c=180.....eq 3 : take b's value from eq 1 and c's value from eq 2 and plug them into eq 3 : a+(a+28)+((1/2)a-8)=180....plugged in values : (5/2)a+20=180...collected like terms on left side : (5/2)a=160.....subtracted 20 from both sides : degrees......multiplied both sides by 2/5. : b=(1/2)a-8degrees : c=a+28degrees Answer by solver91311(16897)   (Show Source): You can put this solution on YOUR website! For all triangles, the sum of measures of the interior angles is 180°. So for your triangle But we are given that and . We can substitute these expressions into the sum equation thus: Now solve for by ordinary means. Multiply by 2: Collect like terms: Add -40 to both sides: Multiply by You should be able to figure the measures of the other two by substitution of this value.