# x parallel ```In the diagram PQ = PR = RS. What is the size of angle x?
Q
R
36&deg;
x
P
J 54&deg;
S
K 72&deg;
L 90&deg;
M 108&deg;
N 144&deg;
In the diagram below, ST is parallel to UV. What is the value of x?
P
not to scale
x&deg;
132&deg;
U
V
134&deg;
T
S
L 46
M 48
N 86
O 92
P 94
In the diagram below, PT = QT = TS, QS = SR, PQT = 20&deg;. 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&deg;
83&deg;
x&deg;
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&deg;
Q 60
R 75
S 90
T 120
In the diagram, MON = 130&deg;. 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&deg;
J 120&deg;
K 140&deg;
L 150&deg;
M 160&deg;
U 69&deg;
V 71&deg;
W 111&deg;
What is the size of the angle marked x?
x
113&deg;
S 42&deg;
Not to
scale
109&deg;
T 67&deg;
What is the value of a + b + c + d + e + f?
c&deg; d&deg;
b&deg;
a&deg;
F 360
G 540
H 720
I
e&deg;
f&deg;
900
J it depends on the triangle
In the diagram RPM = 20&deg; and QMP = 70&deg;. What is PRS?
P
20 &deg;
N
70&deg;
M
Q
Q 90&deg;
R
R 110&deg;
S 120&deg;
S
T 130&deg;
Triangle PQR is equilateral. Angle SPR = 40&deg;, angle TQR = 35&deg;.
angle SXT?
U 140&deg;
What is the size of the marked
P
40&deg;
T
X
Q
Z 140&deg;
35&deg;
S
A 135&deg;
R
B 120&deg;
C 105&deg;
D 75&deg;
```