Given that,
The difference between two consecutive angles is 10°.
Let, x, x + 10 and x + 20 be the consecutive angles differ by 10°.
We know that,
x + x + 10 + x + 20 = 180°
3x + 30° = 180°
3x = 180° – 30°
3x = 150°
x = 50°
Therefore, the required angles are:
x = 50°
x + 10 = 50° + 10°
= 60°
x + 20 = 50° + 20°
= 70°
The difference between two consecutive angles is 10° then three angles are 50°, 60° and 70°
