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C. Fill in the blanks.

1. The measure of each exterior angle of a regular pentagon is .................... .

2. Sum of the angles of a hexagon is .................... .
3. The measure of each exterior angle of a regular polygon of 18 sides is .................... .

4. A quadrilateral that is not a parallelogram but has exactly two opposite angles of equal measure is
.................... .

5. A quadrilateral can be constructed uniquely if its three sides and .................... angles are given.

6. If one diagonal of a rectangle is 6 cm long, length of the other diagonal is .................... .
D. Answer the following:

1. (a) Is a simple closed polygon? Give reasons.

(b) Is a concave or convex hexagon? Give reasons.

2. In the parallelogram ABCD given below, find value of x, y, z.

A z B
125°

56°

x y
D C
3. Find the value of x, y and z in the figure given below.

112°
70° x
y z

4. In the given figure, ABCD and BDCE are parallelograms with common base DC. If BC ⊥ BD, then
find ∠BEC.

A B E
30°

D C
5. In kite WEAR, ∠WEA = 70° and ∠ARW = 80°. Find the remaining two angles.

R

W A

E

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