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

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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