In a triangle ABC , angle A = 2 Angle B and Angle A =one by three angle C,Find the measures all three angles.
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Step-by-step explanation:
We know that in a △, the sum of all the interior angles is 180
⇒∠A+∠B+∠C=180
Also given that,
∠C=3∠B and 3∠B=2∠A+2∠B
∠A= <B/2
Substituting values in (1), we get
∠B /2 + <B + 3<B + 180
∴∠B=40
∘
∠A=20
∘
∠C=120
∘
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