Question

2.In ABC, <A: <B: <C=4:5:6. Calculate <A, <B and <C.​

Answer 1

Answer:

In ∆ABC ,

∠A + ∠B + ∠C = 180°

4x + 5x + 6x = 180°

15x = 180°

x = 180°/ 15

x = 12°

∠A = 4x = 4×12 = 48

∠B = 5x = 5×12 = 60

∠C = 6x = 6× 12 = 72

Verification:

∠A + ∠B + ∠C

= 48° + 60° + 72°

= 180 °