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Ashok Kumar
Ashok Kumar, Electrical Engineer
Category: Math Homework
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Experience:  Master's Degree
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The second angle of a triangle is three times as large as the

Customer Question

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.
Submitted: 1 year ago.
Category: Math Homework
Expert:  Ashok Kumar replied 1 year ago.
I am working on this and will upload answer shortly.
Expert:  Ashok Kumar replied 1 year ago.
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.
Expert:  Ashok Kumar replied 1 year ago.
Kindly rate the answer if no clarification is needed.