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°