Triangle 5851

In a triangle, the first angle is half the second angle, and the third angle is the third of the first angle. How big are the angles in a triangle, and what is the type of triangle?

Correct answer:

A =  54 °
B =  108 °
C =  18 °

Step-by-step explanation:

A=2B C=3A A+B+C=180  A=B/2 C=A/3 A+B+C=180  2AB=0 A3C=0 A+B+C=180  Row221 Row1Row2 2AB=0 0.5B3C=0 A+B+C=180  Row321 Row1Row3 2AB=0 0.5B3C=0 1.5B+C=180  Pivot:Row2Row3 2AB=0 1.5B+C=180 0.5B3C=0  Row31.50.5 Row2Row3 2AB=0 1.5B+C=180 3.333C=60  C=3.3333333360=18 B=1.5180C=1.518018=108 A=20+B=20+108=54  A=54 B=108 C=18



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