Examveda

In the given figure, PQ is a diameter of the semicircle PABQ and O is its center. ∠AOB = 64°. BP cuts AQ at X. What is the value (in degrees) of ∠AXP?
Geometry mcq question image

A. 36

B. 32

C. 58

D. 54

Answer: Option C

Solution (By Examveda Team)

Geometry mcq question image
∠AOB = 64°
Then,
∠BPA = 32°
∠PAQ = 90°
[∴ PQ is a diameter]
So, ∠PXA = 90 - 32 = 58°

This Question Belongs to Arithmetic Ability >> Geometry

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