Question

In Triangle ABC. If 2times angle A=3times angleB=6times angle c.

How to find angle A,B and C

Answer 1

2∠A = 3∠B = 6∠C (Given)

Therefore,

2∠A = 6∠C

∠A = 3∠C ………….(i)

3∠B = 6∠C

∠B = 2∠C ………..(ii)

Also, we know that in a triangle ABC,

∠A + ∠B + ∠C = 180⁰ (Sum of the angles of a triangle is 180⁰)

3∠C + 2∠C + ∠C = 180⁰

6∠C = 180⁰

∠C = 30⁰

From (i) and (ii),

∠A = 90⁰ and ∠B = 60⁰.