Angles of a quadrilateral are in the ratio 3: 4: 5: 8. The smallest angle is: - Mathematics

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MCQ

Angles of a quadrilateral are in the ratio 3: 4: 5: 8. The smallest angle is:

Options

  • 20°

  • 54°

  • 36°

  • 18°

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Solution

54°

Explanation:

Let the angles be 3x, 4x, 5x, and 8x

3x + 4x + 5x + 8x = 360°

20x = 360°

x = 18°

∴ Smallest angle = 3 × 18° = 54°

Concept: Ratio and Proportion (Entrance Exam)
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