On a pie chart, there are four sectors of which three angles are 45^\circ, 90^\circ and 135^\circ. If the smallest sector represents N28.00, how much is the largest sector?
A
N96.00
B
N84.00
C
N48.00
D
N42.00
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
Let the 4th angle be = x
∴ x + 45 + 90 + 135 = 360
x + 270 = 360
x = 360 - 270
x = 90
∴ smallest angle = 45o
45o = N28.00
1o = 28.00/45
135o = (28.00/45) * (135/1)
= N84.00
Source: Myschool Past Questions Archive (Record #7843)