In the diagram, O is the centre of the circle and < PQR = 106º, find the value of y
Attached Figure / Diagram
A
16
B
37
C
74
D
127
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
2y + Reflex angle = 360
Reflex angle = 360 - 2y
360 - 2y = 2(106)(angles at a centre = 2ce < of circum.)
360 - 212 = 2y
148 = 2y
y \(\frac{148}{2}\)
y = 74o
Source: Myschool Past Questions Archive (Record #36303)