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Ashok Kumar, Electrical Engineer

Category: Math Homework

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The second angle of a triangle is three times as large as the

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The second angle of a triangle is three times as large as the first. The third angle is 30 degrees more than the first. Find the measure of each angle.

Let A, B and c be triangle angles. Let us call A as first angle, B as second angle and C as third angle. Sum of three angles is 180 deg. Hence, A+B+C = 180 ...(1) second angle is three times as large as the first B = 3A third angle is 30 degrees more than the firs c = A+30 Putting these in (1), we get A + 3A+A+30 = 180 Or, 5A = 180-30 = 150 Or, A = 150/5=30 B = 30*3 = 90 C = 30+30 = 60 Kindly rate the answer.