Question

The angles of triangle are arranged in ascending order of magnitude. If the difference between two consecutive angles is 15°, find the three angles.

Answer 1

Given: ∠A = x, ∠B = x + 15°, ∠C = x + 30°

To Find: ∠A, ∠B and ∠C

Solution:

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

x + x +15° + x + 30° = 180°

3x + 45° = 180°

3x = 180° − 45°

3x = 135°

∴x = 45°

∠A = x = 45°

∠B = x + 15° = 45° +15° = 60°

∠C = x + 20° = 45° + 30° = 75°