SOLUTION: The sum of the measures of the angles in any triangle is 180°. Jacqueline has a triangular area in her back yard where she intends to create a garden. If the largest angle is fi

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: The sum of the measures of the angles in any triangle is 180°. Jacqueline has a triangular area in her back yard where she intends to create a garden. If the largest angle is fi      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 730192: The sum of the measures of the angles in any triangle is 180°. Jacqueline has a triangular area in her back yard where she intends to create a garden. If the largest angle is five times the smallest and the middle angle is 20° more than twice the smallest, find the measure of each angle. (It may help to draw the triangle and label each angle.)
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of the measures of the angles in any triangle is 180°. Jacqueline has a triangular area in her back yard where she intends to create a garden. If the largest angle is five times the smallest and the middle angle is 20° more than twice the smallest, find the measure of each angle. (It may help to draw the triangle and label each angle.)
.
Let x = measure of smallest angle
then
5x = largest angle
2x+20 = middle angle
.
x + 5x + 2x+20 = 180
8x+20 = 180
8x = 160
x = 20 degrees (smallest angle)
.
largest angle:
5x = 5(20) = 100 degrees
.
middle angle:
2x+20 = 2(20)+20 = 40+20 = 60 degrees