24. The angles of quadrilateral are in the ratio 3:5:9:13. Find all the angles of the quadrilateral.
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Answer:
36°, 60°, 108°, 156°
Step-by-step explanation:
Let the degree of angles be x
Ratio of angles = 3:5:9:13
Sum of the ratios = 3x + 5x + 9x + 13x
= 30x
Total sum of all the angles = 360°
x = 360/30
=12°
3x = 3×12
= 36°
5x = 5×12
= 60°
9x = 9×12
= 108°
13x = 13×12
= 156°
∴ The angles are 36°, 60°, 108°, 156°
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