In a triangle ABC if 2angle A = 3angle B = 6angle C , find angle A , B and C
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Step-by-step explanation:
Answer
According to the condition in the △ABC, 2∠A=3∠B=6∠C
⇒∠A=3∠C and, ∠B=2∠C
Sum of interior angles of the triangle is 180
o
Hence ∠A+∠B+∠C=180
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⇒3∠C+2∠C+∠C=180
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⇒∠C=30
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∴∠A=90
0
,∠B=60
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,∠C=30
o
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