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