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Mathematics

The angles of a quadrilateral are in the ratio 2 : 4 : 5 : 7. The angles of given quadrilateral are :

  1. 40°, 60°, 100°, 140°

  2. 40°, 80°, 120°, 120°

  3. 40°, 80°, 100°, 140°

  4. 40°, 60°, 100°, 160°

Rectilinear Figures

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Answer

We know that,

The sum of the angles of a quadrilateral is 360°

Given the ratio of the angles is 2 : 4 : 5 : 7.

Let the angles be 2x, 4x, 5x, and 7x.

2x + 4x + 5x + 7x = 360°

18x = 360°

x = 20°

2x = 40°

4x = 80°

5x = 100°

7x = 140°

Hence, option 3 is the correct option.

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