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  1. The external bisector of ∠B and ∠C of ∆ABC (where AB and AC extended to E and F respectively) meet at point P. If ∠BAC = 100°, then the measure of ∠BPC is
    1. 50°
    2. 80°
    3. 40°
    4. 100°
Correct Option: C


In &&8710;ABC
∠A = x, ∠B = y; ∠C = z
In ∆PBC,
∠PBC + ∠PCB + ∠BPC = 180°



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