explain about the angles in the same segment of a circle
Theorem: Angles is the same segment of a circle are equal
By the mentioned theorem
Reflex ∠AOB = 2∠APB and reflex ∠AOB = 2∠AQB
∴ 2∠APB = 2∠AQB
⇒ ∠APB = ∠AQB
Hence, ∠APB = ∠AQ B