In a triangle ABC, if 6(angleA) = 2(angleB) = 3(angleC), then the measure of angleA is
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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
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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
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,∠B=60
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,∠C=30
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