Question

The four angles of a quadrilateral are in the ratio 1:3:7:9. Find the angles of the quadrilateral
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Answer 1

Answer:

Let the angles be 1x, 3x, 7x and 9x respectively.

Sum of all angles of a quadrilateral = 360°

$= > 1x + 3x + 7x + 9x = 360 \\ = > 20x = 360 \\ = > x = \frac{360}{20} \\ = > x = 18$

Therefore x = 18°.

=> angle 1 = x = 18°

=> angle 1 = 3x = 54°

=> angle 1 = 7x = 126°

=> angle 1 = 9x = 162°

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