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Quadrilaterals
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12/07/2021 12:37 pm
Topic starter
The angles of quadrilateral are in the ratio 3 : 5 : 9 : 13. Find all the angles of the quadrilateral.
1 Answer
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12/07/2021 12:38 pm
Let the common ratio between the angles be = x.
We know that the sum of the interior angles of the quadrilateral = 360°
3x + 5x + 9x + 13x = 360°
⇒ 30x = 360°
⇒ x = 12°
Angles of the quadrilateral are:
3x = 3 × 12° = 36°
5x = 5 × 12° = 60°
9x = 9 × 12° = 108°
13x = 13 × 12° = 156°