Cambridge International Mathematics

96 Lines, angles and polygons (Chapter 4)

EXERCISE 4A

1 Use the figure illustrated to answer the following questions:

AB is a fixed line and OP can rotate about O between OA and OB.

a If x= 136, findy. b If y=58, findx.

c What isxifyis 39? d Ifxis 0 , what isy?

e If x=81, findy. f If x=y, what is the value of each?

2 Find the values of the unknowns, giving brief reasons. You shouldnotneed to set up an equation.

abc

de f

gh i

jk l

mno

pq r

A x° y°

O

B

P

65°

y°

100°

x°

x° 131°

y°

35°

115°

b°

a°

27°

d°

i°

94°

48°

b°

a°

57°

f°

63°

x° 42 °

x°

112°

x°

315°

c°

78°

108°

b°

a° 116°

121° a° b°

c° c°

a°

78° b°

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Y:\HAESE\IGCSE01\IG01_04\096IGCSE01_04.CDR Monday, 15 September 2008 11:53:53 AM PETER