1). Find x in the following figures.

a).

b).

2). Find the measure of each exterior angle of a regular polygon of :-

(I). 9

(II). 15 – The procedure is same as the Previous Question.

3). How many sides does a regular polygon have if the measure of an exterior angle is 24°?

4). How many sides does a regular polygon have if each of its interior angles is 125°?

5). (a). Is it possible to have a regular polygon with measure of each exterior angle as 22°?

5). (b). Can it be an interior angle of a regular polygon? Why?

6). (a). What is the minimum interior angle possible for a regular polygon? Why?

6). (b). What is the maximum exterior angle possible for a regular polygon?

1). Given a parallelogram ABCD. Complete each statement along with the definition or property used.

(i) AD =

(ii) ∠ DCB =

(iii) OC =

(iv) m ∠DAB + m ∠CDA =

2). Consider the following parallelograms. Find the values of the unknowns x, y, z.

(i) – Find the values of the unknowns x, y, z.

(ii) – Find the values of the unknowns x, y, z.

(iii) – Find the values of the unknowns x, y, z.

(iv) – Find the values of the unknowns x, y, z.

(iv) – Find the values of the unknowns x, y, z.

3). Can a quadrilateral ABCD be a parallelogram if

(i) ∠D + ∠B = 180°?

(ii) AB = DC = 8 cm, AD = 4 cm and BC = 4.4 cm?

(iii) ∠A = 70° and ∠C = 65°?

4). Draw a rough figure of a quadrilateral that is not a parallelogram but has exactly two opposite angles.

5). The measures of two adjacent angles of a parallelogram are in the ratio 3 : 2. Find the measure of each of the angles of the parallelogram.

6). Two adjacent angles of a parallelogram have equal measure. Find the measure of each of the angles of the parallelogram.

7). The adjacent figure HOPE is a parallelogram. Find the angle measures x, y and z. State the properties you use to find them.

8). The following figures GUNS and RUNS are parallelograms. Find x and y. (Lengths are in cm).

(i) GUNS

(ii) RUNS

9). In the above figure both RISK and CLUE are parallelograms. Find the value of x.

10). Explain how this figure is a trapezium. Which of its two sides are parallel?

11). Find m∠C in Fig 3.27 if AB II DC .

12). Find the measure of ∠P and ∠S if SP RQ  in Fig 3.28. (If you find m∠R, is there more than one method to find m∠P?)