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The exterior angles of a pentagon are in the ratio 1:2:3:4:5. If the smallest exterior angle is x, find x.

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Question

The exterior angles of a pentagon are in the ratio 1:2:3:4:5. If the smallest exterior angle is x, find x.

Options

  • 12°

  • 20°

  • 24°

  • 30°

MCQ
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Solution

24°

Explanation: 

Sum of exterior angles = 360°.

If angles are x, 2x, 3x, 4x, 5x, then 15x = 360°, so x = 24°.

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