1. Draw a quadrilateral WXYZ. Name the following: (i) Two pairs of opposite sides.

(ii) Two pairs of opposite angles.

(iii) Two pairs of adjacent sides.

(iv) Two pairs of adjacent angles.

2. The sum of two opposite angles of a quadrilateral 200°. The other two opposite angles are equal. What is the measure of the equal angles? (Ans)

3. The angles of a quadrilateral are in the ratio 1: 3: 4: 4. Find the measure of each angle. (Ans)

4. Three angles of a quadrilateral are 55°, 125° and 70°. Find the measure of fourth angle. (Ans)

5. Three angles of a quadrilateral are equal. The fourth angle is twice one of the angles. Find the measure of each angle. (Ans)

6. The four angles of a quadrilateral are equal. Find their measure. (Ans)

7. The sum of two angles of a quadrilateral is 180°. What is the sum of other two angles? (Ans)

8. The angles of a quadrilateral are in the following ratio. Find the measure of the four angles.

(i) 1: 2 : 3 : 4 (Ans)

(ii) 2 : 2 : 3 : 5 (Ans)

(iii) 3:5:7:9 (Ans)

(iv)3: 4 : 5 : 6 (Ans)

9. Three angles of a quadrilateral are equal. The fourth angle is 120°. Find the measure of each angle. (Ans)

10. If the opposite angles of a quadrilateral are equal then name all the possible types of quadrilaterals. (Ans)

11. If the diagonals of a quadrilateral bisect each other then name all the possible types of quadrilateral (Ans)

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12. State true or false:-

(i) Three vertices of a quadrilateral may sometimes be collinear. (Ans)

(ii) A quadrilateral cannot have more than one right angle. (Ans)

(iii) A quadrilateral cannot have obtuse angle. (Ans)

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