Question

The angles of a triangle are arranged in ascending order of their magnitude. If the difference between two consecutive angles is 10°, find the three angles.

Answer 1

Given: ∠A = x, ∠B = x + 10°, ∠C = x + 20°

To Find: ∠A, ∠B and ∠C

Solution:

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

x + x +10° + x + 20° = 180°

3x + 30° = 180°

3x = 180° − 30°

3x = 150°

∴ x = 50°

∠A = x = 50°

∠B = x + 10° = 50° +10° = 60°

∠C = x + 20° = 50° + 20° = 70°