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In a circle with centre O AB is the diameter P...

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Geometry
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In a circle with centre O, AB is the diameter. P and Q are two points on the circle on the same side of the diameter AB. AQ and BP intersect at C. If ∠POQ = 54°, then the measure of ∠PCA is:

Answer & Solution
Correct Answer: Option A
Geometry mcq question image
2α + 2β + 54° = 180°
2(α + β) = 126°
α + β = 63°
∠PCA = ∠CAB + ∠CBA
= α + β
= 63°
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