Question

The four angles of a quadrilateralareas 3:5:7:9.Findtheangles.​

Answer 1

$\huge \sf \purple{solution}$

Solution: Let, first angle of quadrilateral = 3x

Second angle of quadrilateral = 5x

Third angle of quadrilateral = 7x

Fourth angle of quadrilateral = 9x

=>. 3x + 5x + 7x + 9 = 360

=>. 24x = 360

=>. x = 360 / 24

=>. x = 15 [ 24 × 15 = 360 ]

Hence, first angle = 3 × 15 = 45

Second angle = 5 × 15 = 75

Third angle = 7 × 15 = 105

Fourth angle = 9 × 15 = 135

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