In a ∆ABC, if 3angle A=6 angle B=2 angle C, find the measure of angle A angle B angle C.
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Step-by-step explanation:
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 180o
Hence ∠A+∠B+∠C=180o
⇒3∠C+2∠C+∠C=180o
⇒∠C=30o
∴∠A=900,∠B=60o,∠C=30o
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