Question

A is equal to 2angle B,2angle B is equal to 3angleC.find angle a,b,c

Answer 1

Assuming that a , b , c are angles of triangle

let ∠B = x

∠A = 2 ∠B = 2 × x = 2x

3 ∠ C = 2 ∠B = 2x

⇒ ∠C = 2x/3

Also ∠A + ∠B + ∠C = 180°        [ angle sum property of triangle]

⇒ 2x + x + (2x/3) = 180°

⇒ 9x + 2x = 3 × 180

⇒ 11x = 540°

⇒ x =540/11 = 49 1/11°

⇒ 2x = 1080/11 = 98 2/11°

⇒ 2x/3 = 1080/11 ÷ 3 = 360/11 = 32 8/11°

hence ∠A = 49 1/11° , ∠B = 98 2/11° and ∠C = 32 8/11°