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On a pie chart there are six sectors of which four angles are 30°, 45°,…

On a pie chart there are six sectors of which four angles are 30°, 45°, 60°, 90° and the remaining two angles are in the ratio 2:1. Find the smallest angles of the remaining two angles.

A.
15^o
B.
30^o
C.
45^o
D.
60^o

Correct Answer: Option C

Explanation

30 + 45 + 60 + 90 + 2x + x = 360°
225 + 3x = 360
3x = 360 – 225
3x = 135
x = 45°