SOLUTION: The sum of the measures of the angles in any triangle is 180°. Paula has a triangular area in her back yard where she intends to create a garden. If the largest angle is five time
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Question 365044: The sum of the measures of the angles in any triangle is 180°. Paula 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° less than twice the smallest, find the measure of 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°. Paula 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° less than twice the smallest, find the measure of each angle.
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Let x = smallest angle
then
5x = largest angle
2x-20 = middle angle
.
x + 5x + 2x-20 = 180
8x-20 = 180
8x = 200
x = 25 degrees (smallest angle)
.
Largest angle:
5x = 5(25) = 125 degrees
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Middle angle:
2x-20 = 2(25)-20 = 50-20 = 30 degrees
