passpadi

2008

Mathematics

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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°

B.

30°

C.

45°

D.

60°

Correct Answer: 45°

Explanation

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

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