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 = 2∠C
We know that the sum of the angles of a triangle is 180°.
⇒ 2∠C + 2∠C + ∠C = 180°
⇒ 5∠C = 180 °
⇒ ∠C = 36°
So, ∠B = ∠A = 2× ∠C = 72°
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