Q. 65.0( 5 Votes )

The angles of a triangle are arranged in ascending order of magnitude. If the difference between two consecutive angles is 15°, find the three angles.

Answer :

It is given that the angles of a triangle are arranged in ascending order of magnitude with the difference between consecutive angles = 15°.


So, the angles be x – 15°, x and x + 15°


We know that the sum of the angles of a triangle is 180°.


x – 15° + x + x + 15° = 180°


3x = 180°


x = 60°


So, x – 15° = 60° - 15° = 45°


x + 15° = 60° + 15° = 75°


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Karnataka Board - Mathematics Part I