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

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) (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

RELATED QUESTIONS
The sum of the measures of the angles in any triangle is 180�. Paula has a triangular... (answered by nerdybill)

The sum of the measures of the inner angles in any triangle is 180�. Diana has a... (answered by ewatrrr)

In any triangle, the sum of the measures of the angles is 180 degrees. What kind of... (answered by )

The sum of the measures of the angles of any triangle is 180. The measures of the three... (answered by Fombitz)

Tanya has a triangular garden bed in her back yard. The measure of the largest angle is... (answered by richwmiller)

the sum of the measures of the angles in triangle is 180 degrees. in a quadrilateral, the (answered by Alan3354)

The Sum of the measures of the interior angles of any triangle is 180... (answered by ewatrrr)

The sum of the measures of the angles in a triangle is 180 degrees.One angle measures 45... (answered by Alan3354)

Anne has a triangular garden bed in her back yard. The measure of the largest angle is... (answered by josgarithmetic)