Question

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

Answer 1

Let one of the angles of a triangle be x. If angles are arranged in descending order. Then, angles will be x, (x -10°) and (x – 20°).

We know that, the sum of all angles in a triangle is equal to 180°.

Hence, angle will be 70°, 70° - 10° and 70° - 20° i.e. 70°, 60° and 50°.