In a ∆ABC, if 2 ∠A = 3 ∠B = 6 ∠C then calculate ∠A, �

1.	In a ∆ABC, if 2 ∠A = 3 ∠B = 6 ∠C then calculate ∠A, ∠B and ∠C.
Answer» LET $2 ∠A = 3 ∠B = 6 ∠C = x°$ Then, $∠A = ( \frac{x}{2}° ) ;∠B = ( \frac{x}{3} °)and \: ∠C =( \frac{x}{6}° )$ $But , ∠A + ∠B + ∠C = 180°$ $.°. \frac{x}{2} + \frac{x}{3} + \frac{x}{6} = 180$ $\implies 3x + 2x + x = 1080$ $\implies 6x = 1080$ $\implies x = \frac {1080}{6} = 180$ $.°. ∠A = \frac { 180}{2}°= 90°$ $.°. ∠B = \frac { 180}{3}°= 60°$ $.°. ∠C = \frac { 180}{6}°= 30°$ HENCE, ∠A = 90° , ∠B = 60° and ∠C = 30° Hope it helps♥.