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If in ΔABC, 2∠A = 3∠B = 6∠C, then what is ∠A equal to?1. 30°2. 45°3. 60°4. 90° |
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Answer» Correct Answer - Option 4 : 90° Given: In ΔABC, 2∠A = 3∠B = 6∠C Concept Used: The sum of all the angles of a triangle is 180° Calculation: Let, 2∠A = 3∠B = 6∠C = 6k so, ∠A = 3k, ∠B = 2k and ∠C = k Now, in ΔABC ∠A + ∠B + ∠C = 180° 3k + 2k + k = 180° 6k = 180° k = 30° ∠A = 3k = 90° ∴ ∠A is 90° |
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