The angles of a triangle are arranged in ascending order of magnitude.
Question:

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

Solution:

Given that,

The difference between two consecutive angles is 10°

Let x, x+10°, x+20° be the consecutive angles that differ by 10°

We know that,

Sum of all angles in a triangle is 180°

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°

As the difference between two consecutive angles is 10°, the three angles are 50°, 60°, 70°.

Administrator

Leave a comment

Please enter comment.
Please enter your name.