Q. 1275.0( 2 Votes )

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.

Answer :

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 2nd angle will be x-10°


And 3rd 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°


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