Mathematics

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.
    15o
  • B.
    30o
  • C.
    45o
  • D.
    60o
Correct Answer: Option C
Explanation

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