Home » Mathematics » In the diagram, O is the centre of the circle and POQ a diameter. If…

In the diagram, O is the centre of the circle and POQ a diameter. If…

In the diagram, O is the centre of the circle and POQ a diameter. If POR = 96^o, find the value of ORQ.

A.
84^o
B.
48^o
C.
45^o
D.
42^o

Correct Answer: Option B

Explanation

OQ = OR = radiio
(bigtriangleup)OQR = Isosceles
R = Q
R + Q + 84 = 180(angle in a (bigtriangleup))
2R = 96 since R = Q
R = 48^o
ORQ = 48^o