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Question
The angles of a quadrilateral are in the ratio 2 : 4 : 5 : 7. Find all the angles
Solution
Let the angles of a quadrilateral be 2x, 4x, 5x, and 7x.
Total angle of a quadrilateral = 360°
2x + 4x + 5x + 7x = 360°
18° = 360°
x = `(360^circ)/18`
= 20°
2x = 2 × 20° = 40°, 4x = 4 × 20° = 80°,
5x = 5 × 20° = 100°, 7x = 7 × 20° = 140°
The angles of a quadrilateral are 40°, 80°, 100° and 140°.
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