Question

Question
1
degrees
A)
Use the image to answer the question.
Circle
is constructed with central
and inscribed
. If the measurement of
degrees, then find the measurement of
.
(1 point)
O ∠QOR ∠QSR
∠QOR = 107 ∠QSR

Answer 1

An inscribed angle equals half the measure of the central angle that subtends the same arc. So

m∠QSR = 1/2 · m∠QOR = 1/2 · 107° = 53.5° = 53°30'.