Understanding Quadrilaterals Class-8

Dear Student, Try to solve these question, all are very easy and as per your Syllabus,

I hope you all can solve easily.

1. State whether True or False.

           (a)  All rectangles are squares.                

           (b)  All rhombuses are parallelograms.

           (c)  All square are rhombuses and also rectangles.

           (d)  All squares are not parallelograms.

           (e)  All kites are rhombuses.

           (f)  All rhombuses are kites.

           (g)  All parallelograms are trapeziums.

           (h)  All squares are trapeziums.

2. 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
3. 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.
4. The interior angle of a regular polygon is 108°. Find the number of sides of the polygon.
5. The exterior angle of a regular polygon is one-fifth of its interior angle. How many sides have the polygon?
6. 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.
7. If an exterior angle of a regular polygon is 45°, then find the number of its sides.
8. If an interior angle of a regular polygon is 162°, then find the number of its sides.
9. Find the measure of an interior angle of a regular polygon having 15 sides.
10. An angle of a parallelogram measures 70°. Find the measure of the remaining three angles.
11. One angle of a quadrilateral is 111° and the remaining three angles are equal. Find three angles.
12. What is the ratio of the interior angles of a pentagon and a decagon?
13. The perimeter of a parallelogram is 150 cm. One of its side is greater than the other by 25 cm. Find length of all sides of the parallelogram.
14. Lengths of adjacent sides of a parallelogram is 3 cm and 4 cm. Find its perimeter.
15. In a parallelogram, the ratio of the adjacent sides is 4 : 5 and its perimeter is 72 cm then, find the sides of the parallelogram.
16. Two opposite angles of a parallelogram are (5x – 8)° and (2x + 82)°. Find the measures of each angle of the parallelogram.

 Thanks.