Understanding Quadrilaterals-Important Questions

1.  In a quadrilateral ABCD, the angles A, B, C and D are in the ratio 1: 2: 3: 4. Find the measure of each angle of the quadrilateral.

2.  The interior angle of a regular is 108°. Find the number of sides of the polygon.

3.  The exterior angle of a regular polygon is one-fifth of its interior angle. How many sides have the polygon?

4.  The measures of two adjacent angles of a parallelogram are in the ratio 4: 5. Find the measure of each of the angles of the parallelogram.

5.  If an exterior angle of a regular polygon is 45°, then find the number of its sides.

6.  If an interior angle of a regular polygon is 162°, then find the number of its sides.

7.  Find the measure of an interior angle of a regular polygon having 15 sides.

8.  An angle of a parallelogram measures 70°. Find the measure of the remaining three angles.

9.  One angle of a quadrilateral is 111° and the remaining three angles are equal. Find three angles.

10.  What is the ratio of the interior angles of a pentagon and a decagon?