Determine 13541

The alpha angle is twice the beta angle, and the gamma angle is three times the beta angle. Determine the sizes of all interior angles of the alpha, beta, and gamma triangle ABC.

Correct answer:

A =  60
B =  30
C =  90

Step-by-step explanation:


A=2·B
C = 3·B
A+B+C=180

A-2B = 0
3B-C = 0
A+B+C = 180

Row 3 - Row 1 → Row 3
A-2B = 0
3B-C = 0
3B+C = 180

Row 3 - Row 2 → Row 3
A-2B = 0
3B-C = 0
2C = 180


C = 180/2 = 90
B = 0+C/3 = 0+90/3 = 30
A = 0+2B = 0+2 · 30 = 60

A = 60
B = 30
C = 90

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