Question

In triangle ABC , If 3 angle A = 4 angle B = 6 angle C , calculate angle A , angle B , angle C.

(please explain in a simple language )

Answer 1

given: 2angleA=3angleB=6angleC
we know that,
the sum of angleA+angleB+angleC=180°
therefore 2angleA=6angleC
angle A=6angleC/2angle A
angleA=3angleC
3angleB=6angleC
angleB=6angleC/3
angleB=2angleC
3angleC+2angleC+angleC=180°
6angleC=180°
angleC=180°/6
angleC=30°
therefore, angleA=3angleC
angleB= 3×30°=90°
angleC=2×30°=60°.




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