Question

The angles of a quadrilateral are in the ratio 3:5:7:9.find these angles. Is the quadrilateral a trapezium? Why or why not.

Answer 1

Let the angles be 3x , 5x, 7x and 9x.
Sum of all angles of a quadrilateral is 360°
⇒ 24x = 360
⇒ x = 15°
The angles are 45°,75°,105° and 135°. It is a trapezium as it has only one pair of parallel sides.