The angles of quadrilateral are in the ratio 5 : 6 : 9 : 10. Find all the angles of the quadrilateral.
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Let the ratio be x. Then,
5x+6x+9x+10x=360° (∵Sum of angles of a quadrilateral)
or, 30x=360°
∴x=12°
5x=5×12°=60°
6x=6×12°=72°
9x=9×12°=108°
10x=10×12°=120°
∴The angles are 60°,72°,108° and 120°.
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