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2. The diagram shows a straight line POR. Find the S
values of x and y. 100° x R
T 20° O y
P 96°
Q

3. Using only a pair of compasses and a ruler, construct a line segment AB with a
length of 8 cm. Then construct point C such that ∠ABC = 60° and BC = 5 cm. Then,
construct the perpendicular line from C to AB.

4. TSR is a straight line as shown in the diagram. U
Find the values of x and y. x S R
86° T
P 135°
y
Q

5. If x and y are supplementary angles and x : y = 2 : 3, find the values of x and y.

6. (a) In the diagram, find the values of x and y. S x R
(b) Hence, using only a pair of compasses and a y
ruler, construct the trapezium PQRS such that
CHAPTER
8 PQ = 4 cm and PS = 6 cm. 105° 120° T
P Q

7. PS and QT are straight lines as shown in the U T
diagram. Find the values of x and y. y 2x 20° S
P x 3y

Q
R

8. In the diagram, UTS and PQR are straight lines. V
Find the values of x, y and z. y T S
132° U z

108° x
P Q R
9. The diagram shows two straight lines, WOS and V U
ROV. Find the values of x and y. W y
P x
142°
128° O
Q R S T

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Chapter 8

08 TB Math F1.indd 198 11/10/16 12:17 PM