SOLUTION: One angle of a triangle is 20 degrees. The second angle's measurement is four times the third. What is the measure of the third angle?
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Question 294386: One angle of a triangle is 20 degrees. The second angle's measurement is four times the third. What is the measure of the third angle? Answer by nerdybill(7384) (Show Source):
You can put this solution on YOUR website! One angle of a triangle is 20 degrees. The second angle's measurement is four times the third. What is the measure of the third angle?
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Sum of the interior angles of any triangle is 180 degrees.
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Let x = measure of third angle
and 4x = measure of second angle
then
20 + 4x + x = 180
20 + 5x = 180
5x = 160
x = 32 degrees (third angle)
