Q. 144.2( 5 Votes )

In a triangle, each of the bigger angles is twice the third angle. Find the angles.

Answer :

In a triangle ABC, let C be the third angle and A and B be the bigger ones. It is given that


A = B = 2C


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


2C + 2C + C = 180°


5C = 180 °


⇒ ∠C = 36°


So, B = A = 2× C = 72°


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Karnataka Board - Mathematics Part I