SOLUTION: Tanya has a triangular garden bed in her back yard. The measure of the largest angle is 20° less than four times the measure of the smallest angle, and the measure of the middle a

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Tanya has a triangular garden bed in her back yard. The measure of the largest angle is 20° less than four times the measure of the smallest angle, and the measure of the middle a      Log On


   

Question 997171: Tanya has a triangular garden bed in her back yard. The measure of the largest angle is 20° less than four times the measure of the smallest angle, and the measure of the middle angle is 20° more than the measure of the smallest angle. Find the measures of the three angles. Write an equation to solve this problem, show all work, and include units in your answer.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x, the smallest angle.

Largest: -20+4x
Middle: 20+x
Sum of measures of interior angles be 180 degrees.

%28x%2B20%29%2B%284x-20%29%2Bx=180