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  1. If O is the orthocentre of a triangle ABC and ∠BOC = 100°, the measure of ∠BAC is
    1. 100°
    2. 180°
    3. 80°
    4. 200°
Correct Option: C

We draw a figure triangle ABC whose O is the orthocentre ,

Given , ∠BOC = 180°
∠BOC = 100° – ∠A
⇒ ∠A = 180° – ∠BOC
∠A = 180° – 100° = 80°



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