Page 21 - Cambridge IGCSE Mathematics Core and Extended

13. In the diagram, PQT is Q 20. In the diagram, URS P Q S
an equilateral triangle R S and QRT are straight x 160° R 65°
and PTU is a straight x lines. State the value T
line. Find the value of x. 70° of x. 40°
P T U
U
14. In the diagram, PQR is S Q
a straight line. Find the 85° 30° 21. In the diagram, PRST
25° x
value of x. R is a rhombus. QRT
x Q
P and PS are straight R S
lines. Find the value
Q of x. 30°
15. In the diagram, TSP R
is a straight line. Find 110°
P T
the value of x. x
T
S T
P 22. In the diagram, PQRS
is a square. PRU x
16. P Q
and SQT are straight y
Q lines. Find the value
of x + y.
R
P S R 50°
U
S
23. In the diagram,
PQR is an isosceles
The diagram is drawn on a grid of equal R
triangle. Find the
squares. Mark point S on the grid so that x Q
value of x.
PQRS is a parallelogram. P 254°
P
17. In the diagram, TSR S
is a straight line. Find 95° 24. In the diagram, x R
the value of x. 115° x Q PTQ is a straight 36° 110°
T line and TQRS is a
S 100°
parallelogram. Find
R P y
the value of x + y. T
18. In the diagram, find Q
x
the value of x + y. S
y T
25. In the diagram, PRS 45°
70° R
65° and QRT are straight 65°
lines. Find the value 55°
x Q
19. In the diagram, P Q of x.
x P
PQRS is a
rectangle. PR and 142°
QS are diagonals of S R
the rectangle. Find
the value of x.

Chapter 11 Polygons I 161

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