Understanding Quadrilaterals Practice Paper, Important Questions

1. The sum of the angles of a polygon with n – sides is _______________________.
2. The external angle of a regular polygon is 200. How many sides does it have ? What is the measure of each interior angle? What is the total measure of its angles.
3. Is it possible to have a regular polygon with measure of each exterior angle as 580 ? Why? can it be an interior angle of a regular polygon ?
4. Find the measure of each exterior angle of a (i) Regular octagon (ii) Regular Decagon
5. Find the perimeter of a parallelogram with sides 9cm and 5cm.
6. Find the perimeter of a rhombus whose diagonals are 16cm and 12cm
7. The adjacent angles of a parallelogram are in the ratio 5:4 . Find all the angles.
8. If one of the angles of a parallelogram is a right angle, prove that it is a rectangle.
9. If all the angles of a parallelogram are equal. Prove that it is a rectangle.
10. Find the length of the diagonal of a rectangle whose length is 15cm and breadth is 8cm.
11. A square is a convex polygon. Explain why ?
12. The measure of two adjacent angles of a quadrilateral are 1100 and 500 and the other two acute angles are equal. Find the measure of each angle.
13) The five angles of a pentagon are in the ratio 5 : 6 : 7: 8 :10. Find all the angles.
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