In the diagram, O is the centre of the circle and POQ a diameter. If POR = 96o, find the value of ORQ.
Attached Figure / Diagram
A
84o
B
48o
C
45o
D
42o
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
OQ = OR = radii
< ROQ = 180 - 96 = 84º
\(\bigtriangleup\)OQR = Isosceles
R = Q
R + Q + 84 = 180(angle in a \(\bigtriangleup\))
2R = 96 since R = Q
R = 48º
ORQ = 48º
Source: Myschool Past Questions Archive (Record #32995)