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Self Practice 9.3c

1. S R 2. S R

x Q x
42°
62° V y Q
T U
y
P T U P
V
In the diagram, PQRU is a rectangle In the diagram, PQVU is a rectangle,
and RSTU is a rhombus. SUV is a QRSV is a parallelogram and STUV
straight line. Calculate the values of x is a trapezium. Calculate the values
and y. of x and y.

How do you solve problems involving the
LEARNING
combinations of triangles and quadrilaterals?
STANDARDS
7 Solve problems involving
the combinations
of triangles
U T
and quadrilaterals.
36° y
112°
x
P Q R S CHAPTER

In the diagram, QRTU is a parallelogram and PQRS is a straight line. Find the values of 9
x and y.

∠QRT = 112° ∠QRT and 112° are corresponding angles.
x + 112° + 36° = 180° Sum of the interior angles of ∆QRT.

x = 180° – 112° – 36°
= 32° U T
Sum of the interior angle and
∠TRS + 112° = 180°
its adjacent exterior angle.
∠TRS = 180° – 112° 112°
= 68° P Q R S

y + 68° + 68° = 180° Sum of the interior angles of ∆RST.
y = 180° – 68° – 68°
= 44°

217
Basic Polygons

09 TB Math F1.indd 217 11/10/16 12:18 PM