Question

The angle of a quadrilateral are in ratio 2:4, 5:7. Find the angles​

Answer 1

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Given :

• Ratio = 2:4, 5:7.

To Find :

• All angles of quadrilateral

Solution

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

➨Sum of all angles of quadrilateral = 360°

➨ 2x + 4x + 5x + 7x = 360°

➨ 18x = 360°

➨ x = 360°/ 18

➨ x = 20°

Angles of Quadrilateral

↩2x

➨ 2 × 20° = 40°

↩4x

➨ 4 × 20° = 80°

↩5x

➨ 5 × 20° = 100°

↩7x

➨ 7 × 20° = 140°

Therefore, angles are 40°, 80°, 100° and 140°.