SOLUTION: In a triangle, the sum of the interior angles is 180 degrees. If angle A is three times as large as angle B, and angles B and C sum to 90 degrees, what is the measure of each angl

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Question 47184: In a triangle, the sum of the interior angles is 180 degrees. If angle A is three times as large as angle B, and angles B and C sum to 90 degrees, what is the measure of each angle?
Answer by gsmani_iyer(201) About Me  (Show Source):
You can put this solution on YOUR website!

Sum of the angles in a triangle = 180 degrees.

angle B + angle C = 90 degrees. (given)

So angle A = 180-90 = 90 degrees.

But angle A is thrice the angle B.

So angle B = 1/3 of angle A

= 1/3 * 90 = 30 degrees.

So angle C = 90-30 = 60 degrees. Because angle B + angle C = 90 degrees (given)

angle A = 90 degrees; angle B = 30 degrees; angle C = 60 degrees. Answer.