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:
A. 63°
B. 56°
C. 54°
D. 72°
Answer: Option A
Solution (By Examveda Team)
2α + 2β + 54° = 180°
2(α + β) = 126°
α + β = 63°
∠PCA = ∠CAB + ∠CBA
= α + β
= 63°
This Question Belongs to Arithmetic Ability >> Geometry
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