The four angles of a quadrilateral are as 3 ; 5 : 7 : 9. Find the angles.

Sum of angles of a quadrilateral is 360°


Let angle is x°


Therefore each angle is 3x, 5x, 7x and 9x


3x° + 5x° + 7x° + 9x° = 360°


24x° =


x° =


x° =


Therefore angles are: 3x = 3 × 15 = 45°


5x = 5 × 15 = 75°


7x = 7 × 15 = 105°


9x = 3× 15 = 45°


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