Q. 64.4( 28 Votes )

# 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 :

Given:

Let the angles are :

A = x, B = x + 10, C = x + 20

As we know, using theorem (1), in any triangle, sum of the three interior angles is 180°.

So,

A + B + C = 180°

x + x + 10 + x + 20 = 180°

3x + 30° = 180°

3x = 180° - 30°

3x = 150°

x = 50°

So, the angles are,

A = x = 50°

B = x + 10 = 50° + 10° = 60°

C = x + 20 = 50° + 20° = 70°

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