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## Chapter 11 Understanding Quadrilaterals Worksheet 2

1. PQRS is a trapezium with PQ || SR. if L P = 30°, L Q = 50°, find L R and L S.

2. ABCD is a quadrilateral with L A = 80°, L B = 40°, L C = 140°, L D = 100°.

(i) Is ABCD a trapezium?

(ii) Is ABCD a parallelogram? Justify your answer.

3. One of the angles of a parallelogram is 75°. Find the measures of the remaining angles of the parallelogram.

4. Two adjacent angles of a parallelogram are in the ratio 1 : 5. Find all the angles of the parallelogram.

5. An exterior angle of a parallelogram is 110°. Find the angles of the parallelogram.

6. Two adjacent sides of a parallelogram are in the ratio 3 : 8 and its perimeter is 110 cm. Find the sides of the parallelogram.

7. One side of a parallelogram is 3/4 times its adjacent side. If the perimeter of the parallelogram is 70 cm, find the sides of the parallelogram.

8. ABCD is a parallelogram whose diagonals intersect each other at right angles. If the length of the diagonals is 6 cm and 8 cm, find the lengths of all the sides of the parallelogram.

9. In figure 11.19, one pair of adjacent sides of a parallelogram is in the ratio 3 : 4. If one of its angles, L A is a right angle and diagonal BD = 10 cm, find the

(i) lengths of the sides of the parallelogram.

(ii) perimeter of the parallelogram.