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  1. If in ∆ ABC, ∠ABC = 5 ∠ACB and ∠BAC = 3∠ACB, then ∠ABC = ?
    1. 130°
    2. 80°
    3. 100°
    4. 120°
Correct Option: C

Here , ∠ABC = 5 ∠ACB and ∠BAC = 3∠ACB
We know that , ∠ABC + ∠ACB + ∠BAC = 180°

⇒ ∠ABC +
1
∠ABC +
3
∠ABC = 180°
55

⇒ ∠ABC +
4
∠ABC = 180°
5

or
9
∠ABC = 180°
5

⇒ 9 ∠ABC = 180 × 5
⇒ ∠ABC = 100°



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