Unit 2 Revision - Angles & Polygons
1.
R
PQ is a straight line.
Diagram NOT
accurately drawn
y°
(a)
Work out the size of the angle marked x°.
(b)
(i)
Work out the size of the angle marked y°.
(ii)
Give reasons for your answer.
126° x°
P
2.
Q
S
Diagram NOT accurately drawn
w
y
PQR is a straight line.
PQ = QS = QR.
25º
Angle SPQ = 25°.
P
(a)
(b)
3.
(i)
Write down the size of angle w.
(ii)
Work out the size of angle x.
x
Q
R
Work out the size of angle y.
Diagram NOT accurately drawn
In the diagram, ABC is a straight line and BD =
CD.
4.
(a)
Work out the size of angle x.
(b)
Work out the size of angle y.
Diagram NOT
accurately drawn
Work out the value of x.
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5.
ABCD is a quadrilateral.
Diagram NOT
accurately drawn
A
100°
Work out the size of the largest angle in the quadrilateral.
D
2x°
x°
47°
C
B
6.
Triangle ABC is isosceles, with AC = BC.
A
Diagram NOT
accurately drawn
Angle ACD = 62.
BCD is a straight line.
(a)
Work out the size of angle x.
62°
x
B
C
x
D
Diagram NOT
accurately drawn
The diagram shows part of a regular octagon.
(b)
7.
Work out the size of angle x.
Diagram NOT accurately drawn
D
72º
AC and BD are straight lines which cross at E.
AD is parallel to BC.
C
yº
130º
(a)
(i)
Find the size of the angle marked x.
(ii)
Give a reason for your answer.
E
xº
B
(2)
A
(b)
8.
(i)
Find the size of the angle marked y.
(ii)
Give a reason for your answer.
DE is parallel to FG.
Find the size of the angle marked y°.
D
F
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Diagram NOT
accurately drawn
62°
E
y°
64°
G
2
9.
BEG and CFG are straight
lines.
ABC is parallel to DEF.
Angle ABE = 48°.
Angle BCF = 30°.
(a)
(i)
Write down the
size of the angle
marked x.
Diagram NOT
accurately drawn
A
B
E
D
x
y
(ii)
C
48°
30°
F
Give a reason for
your answer.
G
(b)
10.
(i)
Write down the
size of the angle marked y.
(ii)
Give a reason for your answer.
Diagram NOT accurately drawn
(a)
Work out the size of each interior angle of a regular octagon.
The size of each exterior angle of a regular polygon is 30.
(b)
11.
Work out the number of sides of the polygon.
The size of each exterior angle of a regular polygon is 40°.
Work out the number of sides of the regular polygon.
12.
Diagram NOT accurately drawn
x
The diagram shows part of a regular 10-sided polygon.
Work out the size of the angle marked x.
13.
Calculate the size of the exterior angle of a regular
hexagon.
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Diagram NOT
accurately drawn
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