Q. 54.3( 7 Votes )

If three angles of a triangle are in the ratio 2:3:5, determine three angles.

Answer :

Let the given angles of a triangle be 2x, 3x and 5x.


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


⇒ ∠A + B + C = 180°


2x + 3x + 5x = 180°


10x = 180°


x = 18°


So, A = 2× 18° = 36°


B = 3× 18° = 54°


C = 5× 18° = 90°


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Karnataka Board - Mathematics Part I