EduSahara™ Worksheet

Question 1

1.

The value of each interior angle in an n-sided regular polygon is

(i)

[
(2n - 4) x 90
n
] °
(ii)

(
360
n
) °
(iii)

[
(2n - 4) x 180
n
] °
(iv)

(
n
360
) °

Question 2

2.

Identify the figure below

(i)

angle
(ii)

parallelogram
(iii)

triangle
(iv)

circle
(v)

rhombus

Question 3

3.

Sum of the interior angles in a quadrilateral is

(i)

375°
(ii)

365°
(iii)

390°
(iv)

370°
(v)

360°

Question 4

4.

Identify the figure below

(i)

octagon
(ii)

pentagon
(iii)

nonagon
(iv)

heptagon
(v)

quadrilateral

Question 5

5.

Identify the figure below

(i)

decagon
(ii)

triangle
(iii)

nonagon
(iv)

hexagon
(v)

quadrilateral

Question 6

6.

How many diagonals does a heptagon have?

(i)

14
(ii)

12
(iii)

13
(iv)

15
(v)

16

Question 7

7.

How many diagonals does a triangle have?

(i)

1
(ii)

2
(iii)

0
(iv)

4
(v)

3

Question 8

8.

The value of each exterior angle in an n-sided regular polygon is

(i)

[
(2n - 4) x 90
n
] °
(ii)

[
(2n - 4) x 180
n
] °
(iii)

(
n
360
) °
(iv)

(
360
n
) °

Question 9

9.

How many diagonals does a nonagon have?

(i)

26
(ii)

24
(iii)

28
(iv)

27
(v)

30

Question 10

10.

Sum of the interior angles in a triangle is

(i)

190°
(ii)

185°
(iii)

210°
(iv)

195°
(v)

180°

Question 11

11.

The value of the interior angle in a regular polygon when the exterior angle is given

(i)

90°+ (exterior angle)
(ii)

180°+ (exterior angle)
(iii)

360°- (exterior angle)
(iv)

180°- (exterior angle)

Question 12

12.

Two adjacent angles of a parallelogram LMNO are in the ratio 12 : 18. Find the measure of each of its angles.

(i)

L

=

73°

,

M

=

107°

,

N

=

74°

,

O

=

106°
(ii)

L

=

72°

,

M

=

108°

,

N

=

72°

,

O

=

108°
(iii)

L

=

70°

,

M

=

110°

,

N

=

71°

,

O

=

109°
(iv)

L

=

74°

,

M

=

107°

,

N

=

70°

,

O

=

109°
(v)

L

=

71°

,

M

=

106°

,

N

=

73°

,

O

=

110°

Question 13

13.

Three angles of quadrilateral measure 136.57°, 53.13° and 75.52° respectively. Find the measure of the fourth angle

(i)

95.78°
(ii)

93.78°
(iii)

92.78°
(iv)

94.78°
(v)

96.78°

Question 14

14.

The angles of a quadrilateral DEFG are in the ratio 12 : 13 : 25 : 130. Find the measure of each angle of the quadrilateral.

(i)

D

=

22°

,

E

=

28°

,

F

=

49°

,

G

=

261°
(ii)

D

=

24°

,

E

=

26°

,

F

=

50°

,

G

=

260°
(iii)

D

=

23°

,

E

=

24°

,

F

=

51°

,

G

=

262°
(iv)

D

=

25°

,

E

=

25°

,

F

=

52°

,

G

=

258°
(v)

D

=

26°

,

E

=

25°

,

F

=

48°

,

G

=

261°

Question 15

15.

How many diagonals does a quadrilateral have?

(i)

0
(ii)

1
(iii)

3
(iv)

2
(v)

4

Question 16

16.

Sum of the interior angles in an octagon is

(i)

1090°
(ii)

1110°
(iii)

1085°
(iv)

1095°
(v)

1080°

Question 17

17.

In the given two equilateral triangles, find ∠F + ∠H + ∠J + ∠G + ∠I + ∠K .

(i)

362°
(ii)

358°
(iii)

360°
(iv)

361°
(v)

359°

Question 18

18.

Three angles of a quadrilateral are equal and the fourth angle measure 55.3°. What is the measure of each of the equal angles?

(i)

100.57°
(ii)

99.57°
(iii)

103.57°
(iv)

102.57°
(v)

101.57°

Question 19

19.

Find the number of sides in a regular polygon if each
exterior
angle is
8°

(i)

44
(ii)

46
(iii)

47
(iv)

42
(v)

45

Question 20

20.

Identify the figure below

(i)

rectangle
(ii)

angle
(iii)

kite
(iv)

trapezium
(v)

rhombus

Question 21

21.

Identify the figure below

(i)

decagon
(ii)

heptagon
(iii)

circle
(iv)

pentagon
(v)

quadrilateral

Question 22

22.

Identify the figure below

(i)

square
(ii)

kite
(iii)

parallelogram
(iv)

rectangle
(v)

rhombus

Question 23

23.

Sum of the interior angles in a decagon is

(i)

1455°
(ii)

1470°
(iii)

1450°
(iv)

1445°
(v)

1440°

Question 24

24.

Identify the figure below

(i)

heptagon
(ii)

circle
(iii)

triangle
(iv)

quadrilateral
(v)

pentagon

Question 25

25.

Identify the figure below

(i)

heptagon
(ii)

triangle
(iii)

decagon
(iv)

hexagon
(v)

nonagon

Assignment Key