EduSahara™ Worksheet

Question 1

1.

Sum of the interior angles in a hexagon is

(i)

730°
(ii)

750°
(iii)

735°
(iv)

725°
(v)

720°

Question 2

2.

The number of diagonals in a regular polygon with n sides is

(i)

(

n

) (

n

+

2

)

2
(ii)

(

n

) (

n

−

1

)

2
(iii)

(

n

) (

n

+

3

)

2
(iv)

(

n

) (

n

−

2

)

2
(v)

(

n

) (

n

−

3

)

2

Question 3

3.

Sum of the interior angles in a pentagon is

(i)

545°
(ii)

540°
(iii)

555°
(iv)

570°
(v)

550°

Question 4

4.

How many diagonals does a quadrilateral have?

(i)

3
(ii)

2
(iii)

4
(iv)

0
(v)

1

Question 5

5.

Identify the figure below

(i)

square
(ii)

angle
(iii)

trapezium
(iv)

rhombus
(v)

triangle

Question 6

6.

In the given two equilateral triangles, find ∠C + ∠E + ∠G + ∠D + ∠F + ∠H .

(i)

362°
(ii)

358°
(iii)

360°
(iv)

361°
(v)

359°

Question 7

7.

Identify the figure below

(i)

heptagon
(ii)

circle
(iii)

decagon
(iv)

octagon
(v)

triangle

Question 8

8.

Three angles of a quadrilateral are equal and the fourth angle measure 78.46°. What is the measure of each of the equal angles?

(i)

94.85°
(ii)

93.85°
(iii)

91.85°
(iv)

95.85°
(v)

92.85°

Question 9

9.

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

(i)

90°+ (interior angle)
(ii)

180°- (interior angle)
(iii)

180°+ (interior angle)
(iv)

360°- (interior angle)

Question 10

10.

Identify the figure below

(i)

triangle
(ii)

octagon
(iii)

angle
(iv)

decagon
(v)

quadrilateral

Question 11

11.

Sum of the interior angles in an octagon is

(i)

1080°
(ii)

1090°
(iii)

1110°
(iv)

1095°
(v)

1085°

Question 12

12.

Identify the figure below

(i)

circle
(ii)

triangle
(iii)

decagon
(iv)

octagon
(v)

hexagon

Question 13

13.

How many diagonals does a heptagon have?

(i)

13
(ii)

16
(iii)

15
(iv)

14
(v)

12

Question 14

14.

Sum of the interior angles in a triangle is

(i)

185°
(ii)

190°
(iii)

210°
(iv)

195°
(v)

180°

Question 15

15.

The angles of a quadrilateral OPQR are in the ratio 8 : 4 : 7 : 21. Find the measure of each angle of the quadrilateral.

(i)

O

=

74°

,

P

=

35°

,

Q

=

61°

,

R

=

190°
(ii)

O

=

73°

,

P

=

35°

,

Q

=

65°

,

R

=

187°
(iii)

O

=

72°

,

P

=

36°

,

Q

=

63°

,

R

=

189°
(iv)

O

=

70°

,

P

=

38°

,

Q

=

62°

,

R

=

190°
(v)

O

=

71°

,

P

=

34°

,

Q

=

64°

,

R

=

191°

Question 16

16.

How many diagonals does a triangle have?

(i)

4
(ii)

2
(iii)

0
(iv)

1
(v)

3

Question 17

17.

Sum of the interior angles in a nonagon is

(i)

1260°
(ii)

1290°
(iii)

1270°
(iv)

1275°
(v)

1265°

Question 18

18.

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

(i)

(
n
360
) °
(ii)

[
(2n - 4) x 180
n
] °
(iii)

[
(2n - 4) x 90
n
] °
(iv)

(
360
n
) °

Question 19

19.

Sum of the interior angles in a quadrilateral is

(i)

390°
(ii)

370°
(iii)

360°
(iv)

375°
(v)

365°

Question 20

20.

Identify the figure below

(i)

triangle
(ii)

hexagon
(iii)

octagon
(iv)

decagon
(v)

angle

Question 21

21.

Two adjacent angles of a parallelogram BCDE are in the ratio 8 : 52. Find the measure of each of its angles.

(i)

B

=

24°

,

C

=

156°

,

D

=

24°

,

E

=

156°
(ii)

B

=

26°

,

C

=

155°

,

D

=

22°

,

E

=

157°
(iii)

B

=

22°

,

C

=

158°

,

D

=

23°

,

E

=

157°
(iv)

B

=

25°

,

C

=

155°

,

D

=

26°

,

E

=

154°
(v)

B

=

23°

,

C

=

154°

,

D

=

25°

,

E

=

158°

Question 22

22.

Identify the figure below

(i)

angle
(ii)

heptagon
(iii)

decagon
(iv)

pentagon
(v)

hexagon

Question 23

23.

Sum of the interior angles in a heptagon is

(i)

910°
(ii)

900°
(iii)

905°
(iv)

915°
(v)

930°

Question 24

24.

How many diagonals does a decagon have?

(i)

34
(ii)

36
(iii)

37
(iv)

35
(v)

33

Question 25

25.

Identify the figure below

(i)

rectangle
(ii)

trapezium
(iii)

triangle
(iv)

circle
(v)

angle

Assignment Key