EduSahara™ Worksheet

Question 1

1.

In the given two equilateral triangles, find ∠A + ∠C + ∠E + ∠B + ∠D + ∠F .

(i)

361°
(ii)

358°
(iii)

362°
(iv)

359°
(v)

360°

Question 2

2.

How many diagonals does a hexagon have?

(i)

12
(ii)

10
(iii)

8
(iv)

9
(v)

7

Question 3

3.

Sum of the interior angles in an octagon is

(i)

1085°
(ii)

1090°
(iii)

1080°
(iv)

1110°
(v)

1095°

Question 4

4.

Identify the figure below

(i)

angle
(ii)

triangle
(iii)

circle
(iv)

nonagon
(v)

hexagon

Question 5

5.

How many diagonals does a heptagon have?

(i)

14
(ii)

15
(iii)

11
(iv)

17
(v)

13

Question 6

6.

Identify the figure below

(i)

rhombus
(ii)

angle
(iii)

rectangle
(iv)

square
(v)

kite

Question 7

7.

Find the number of sides in a regular polygon if each
exterior
angle is
40°

(i)

10
(ii)

9
(iii)

7
(iv)

11
(v)

8

Question 8

8.

Two adjacent angles of a parallelogram JKLM are in the ratio 2 : 4. Find the measure of each of its angles.

(i)

J

=

58°

,

K

=

122°

,

L

=

59°

,

M

=

121°
(ii)

J

=

61°

,

K

=

119°

,

L

=

62°

,

M

=

118°
(iii)

J

=

62°

,

K

=

119°

,

L

=

58°

,

M

=

121°
(iv)

J

=

60°

,

K

=

120°

,

L

=

60°

,

M

=

120°
(v)

J

=

59°

,

K

=

118°

,

L

=

61°

,

M

=

122°

Question 9

9.

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

(i)

(
n
360
) °
(ii)

(
360
n
) °
(iii)

[
(2n - 4) x 180
n
] °
(iv)

[
(2n - 4) x 90
n
] °

Question 10

10.

The angles of a quadrilateral HIJK are in the ratio 5 : 4 : 3 : 8. Find the measure of each angle of the quadrilateral.

(i)

H

=

91°

,

I

=

71°

,

J

=

56°

,

K

=

142°
(ii)

H

=

90°

,

I

=

72°

,

J

=

54°

,

K

=

144°
(iii)

H

=

89°

,

I

=

70°

,

J

=

55°

,

K

=

146°
(iv)

H

=

88°

,

I

=

74°

,

J

=

53°

,

K

=

145°
(v)

H

=

92°

,

I

=

71°

,

J

=

52°

,

K

=

145°

Question 11

11.

How many diagonals does a decagon have?

(i)

35
(ii)

33
(iii)

34
(iv)

38
(v)

36

Question 12

12.

Three angles of a quadrilateral are equal and the fourth angle measure 41.65°. What is the measure of each of the equal angles?

(i)

108.12°
(ii)

105.12°
(iii)

104.12°
(iv)

107.12°
(v)

106.12°

Question 13

13.

Sum of the interior angles in a quadrilateral is

(i)

360°
(ii)

375°
(iii)

370°
(iv)

390°
(v)

365°

Question 14

14.

Identify the figure below

(i)

octagon
(ii)

hexagon
(iii)

nonagon
(iv)

quadrilateral
(v)

decagon

Question 15

15.

Sum of the interior angles in a hexagon is

(i)

735°
(ii)

725°
(iii)

750°
(iv)

730°
(v)

720°

Question 16

16.

Identify the figure below

(i)

angle
(ii)

nonagon
(iii)

circle
(iv)

triangle
(v)

octagon

Question 17

17.

Three angles of quadrilateral measure 101.34°, 66.42° and 72.54° respectively. Find the measure of the fourth angle

(i)

118.70°
(ii)

117.70°
(iii)

120.70°
(iv)

121.70°
(v)

119.70°

Question 18

18.

Identify the figure below

(i)

triangle
(ii)

decagon
(iii)

angle
(iv)

circle
(v)

heptagon

Question 19

19.

Sum of the interior angles in a decagon is

(i)

1440°
(ii)

1450°
(iii)

1470°
(iv)

1455°
(v)

1445°

Question 20

20.

Sum of the interior angles in a heptagon is

(i)

900°
(ii)

930°
(iii)

905°
(iv)

910°
(v)

915°

Question 21

21.

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

(i)

(
360
n
) °
(ii)

[
(2n - 4) x 90
n
] °
(iii)

[
(2n - 4) x 180
n
] °
(iv)

(
n
360
) °

Question 22

22.

Sum of the interior angles in a triangle is

(i)

190°
(ii)

195°
(iii)

210°
(iv)

185°
(v)

180°

Question 23

23.

How many diagonals does a quadrilateral have?

(i)

0
(ii)

2
(iii)

4
(iv)

1
(v)

3

Question 24

24.

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

(i)

180°+ (exterior angle)
(ii)

90°+ (exterior angle)
(iii)

360°- (exterior angle)
(iv)

180°- (exterior angle)

Question 25

25.

Sum of the interior angles in a pentagon is

(i)

545°
(ii)

550°
(iii)

540°
(iv)

570°
(v)

555°

Assignment Key