Answer:
a) m∠QPR = 22°
b) m∠QSR = 44°
Step-by-step explanation:
central angle and inscribed angle
Given measure of arc QR = 44º
We should know the following:
The measure of arc equal to the central angle containing that arc
The measure of arc equal two times the inscribed angle containing that arc
According to the previous:
a) ∠QPR is an inscribed angle opposite to the arc QR
So, m arc QR = 2 m∠QPR
∴ ∠QPR = m arc QR/2 = 44/2 = 22°
b) ∠QSR is the central angle opposite to the arc QR
So, m arc QR = m∠QSR
∴ m∠QSR = 44°
