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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°

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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