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Video Questions and Answers on Angles and Plane Figures
In the figure below AB//DE ,
∠
A
B
C
=
70
o
and
∠
C
D
E
=
23
o
.Find
∠
B
C
D
(2m 30s)
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1.
Given that the exterior angle of a regular hexagon is x. Find the size of each interior angle of the hexagon.
2.
The sum of interior angles of a regular polygon is 24 times the size of the exterior angle. (a) Find the number of sides of the polygon. (3 marks) (b) Name the polygon. (1 mark)
3.
The sum of interior angles of a regular polygon is
1800
o
. Find the size of each exterior angle. (3 marks)
4.
The interior angles of an octagon are
2
x
o
,
1
2
x
o
,
(
x
+
40
)
o
,
110
o
,
135
o
,
160
o
,
(
2
x
+
10
)
o
and
185
o
.Find the value of x.
5.
The size of an interior angle of a regular polygon is 6 times that of its exterior angle. Determine the number of the sides of the polygon.
6.
The size of an interior angle of a regular polygon is
3
x
o
while its exterior is
(
x
-
20
)
o
. Find the number of sides of the polygon.
7.
The size of each interior angle of a regular polygon is five times the size of the exterior angle. Find the number of sides of the polygon.
8.
The size of an interior angle of a regular polygon is
156
o
.Find the number of sides of the polygon.
9.
The interior angles of a hexagon are
2
x
o
,
1
2
x
o
,
x
+
40
o
,
110
o
,
130
o
and
160
o
.Find value of the smallest angle.
10.
In the figure below, ABCDE is a regular pentagon and ABF is an equilateral triangle. Find the size of; (a)
∠
A
D
E
(b)
∠
A
E
F
(c)
∠
D
A
F
11.
In the figure below, ABCDE is a regular pentagon and M is the midpoint of AB .DM intersects EB at N. Find the size of (a)
∠
B
A
E
(b)
∠
B
E
D
.
12.
Find by calculation the sum of all the interior angles in the figure ABCDEFGHI below.
13.
In the figure below, AB is parallel to DE, DE bisects angle BDG, angle DCF =
60
o
and angle CFG =
110
o
.
14.
In the figure below PQRS is a rhombus,
∠
S
Q
R
=
55
o
,angle QST is a right angle and TPQ is a straight line. Find the size of angle STQ
15.
In the figure below AB//DE ,
∠
A
B
C
=
70
o
and
∠
C
D
E
=
23
o
.Find
∠
B
C
D
16.
In the figure below,GJ is parallel to HI and FH is parallel to CJ. Angle
A
G
B
=
30
o
,and angle
A
H
C
=
63
o
.Find angle GCJ.
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