In a triangle ABC, iſ 2 angle A = 3 angle B = 6 angle C, calculate angle A, angle B and angleC.
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Answer:
<A = 90°,<B = 60°,<C = 30°
Step-by-step explanation:
Let 2<A = 3<B = 6<C = k
<A = k/2
<B = k/3
<C = k/6
Sum of all interior angles in a triangle = 180°
k/2 + k/3 + k/6 = 180°
(3k + 2k + k)/6 = 180°
6k/6 = 180°
k = 180°
<A = k/2 = 180°/2 = 90°
<B = k/3 = 180°/3 = 60°
<C = k/6 = 180°/6 = 30°
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