Question

In a triangle ABC, if 2∠A = 3∠B = 6∠C, determine ∠A, ∠B and ∠C.

Answer 1

Given: 2∠A = 3∠B = 6∠C

⇒ ∠B = ∠A and ∠C = ∠A

To Find: ∠A, ∠B and ∠C

Solution:

In ΔABC, ∠A + ∠B + ∠C = 180° (Sum of the angles of a triangle)

∠A + ∠A + ∠A = 180°

6∠A = 540°

∴∠A = 90°

∠B = ∠A

∠B = × 90°

∴ ∠B = 60°

∠C = ∠A

∠C = × 90°

∴∠C = 30°