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ABC is isosceles having AB = AC and A = 40...

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Geometry
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ΔABC is isosceles having AB = AC and ∠A = 40°. Bisectors PO and OQ of the exterior angles ∠ABD and ∠ACE formed by producing BC on both sides, meet at O. Then the value of ∠BOC is

Answer & Solution
Correct Answer: Option A
Geometry mcq question image
AB = AC
∴ ∠B = ∠C
∠B = $$\frac{{{{180}^ \circ } - {{40}^ \circ }}}{2}$$
∠B = 70°
∠B = ∠C = 70°
Geometry mcq question image
∠BOC = 90° - $$\frac{{\angle {\text{A}}}}{2}$$
= 90° - 20°
= 70°
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