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.

Given: Angle of triangle are in descending order

difference between two consecutive angles is 10°

Formula Used/Theory:-

→ Angle sum property

Sum of all angles of triangle is 180°

Let the largest angle be x

Then the 2^nd angle will be x-10°

And 3^rd angle will be (x-10°)-10°

= x-20°

By angle sum property

x + (x-10°) + (x-20°) = 180°

3x-30° = 180°

3x = 180° + 30° = 210°

x = = 70°

the angle will be 70°;(70° -10°);(70°- 20°)

The angles of triangle will be 70°;60°;50°

Result:- The angles of triangle will be 70°;60°;50°