In the diagram PQ = PR = RS. What is the size of angle x?
Q
R
36°
x
P
J 54°
S
K 72°
L 90°
M 108°
N 144°
In the diagram below, ST is parallel to UV. What is the value of x?
P
not to scale
x°
132°
U
V
134°
T
S
L 46
M 48
N 86
O 92
P 94
In the diagram below, PT = QT = TS, QS = SR, PQT = 20°. What is the value of x?
Q
x
20
P
R 20
S
T
S 25
T 30
R
U 35
V 40
In the diagram the lines PQ and SR are parallel, as are the lines PS and QT.
What is the value of x?
P
41°
83°
x°
S
Q
R
T
D 139
E 138
F 124
G 98
H 97
The diagram, which is not drawn accurately, shows a parallelogram inside a triangle. The marked
lengths are equal. What is the value of x?
x°
Q 60
R 75
S 90
T 120
U more information needed
In the diagram, MON = 130°. The reflection of OP in OM is OQ and the reflection of OP in ON is
OR. What is the size of QOR?
Q
M
O
P
not to
scale
R
N
I
100°
J 120°
K 140°
L 150°
M 160°
U 69°
V 71°
W 111°
What is the size of the angle marked x?
x
113°
S 42°
Not to
scale
109°
T 67°
What is the value of a + b + c + d + e + f?
c° d°
b°
a°
F 360
G 540
H 720
I
e°
f°
900
J it depends on the triangle
In the diagram RPM = 20° and QMP = 70°. What is PRS?
P
20 °
N
70°
M
Q
Q 90°
R
R 110°
S 120°
S
T 130°
Triangle PQR is equilateral. Angle SPR = 40°, angle TQR = 35°.
angle SXT?
U 140°
What is the size of the marked
P
40°
T
X
Q
Z 140°
35°
S
A 135°
R
B 120°
C 105°
D 75°