Answer:
C) 35°
Step-by-step explanation:
From inspection of the given diagram, it appears that the line segment NOR is the diameter of the circle (where point O is the center).
Angles on a straight line sum to 180°
⇒ ∠NOP + ∠POQ + ∠QOR = 180°
⇒ 82° + ∠POQ + 63° = 180°
⇒ ∠POQ = 180° - 82° - 63°
⇒ ∠POQ = 35°
As an arc measure equals its corresponding central angle measure:
[tex]\sf \implies \overset{\frown}{PQ}= \angle POQ[/tex]
[tex]\sf \implies \overset{\frown}{PQ}=35^{\circ}[/tex]
