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Question

(a) Find the value of x, if l is parallel to m and a is parallel to b.


(b)Find the value of x.

[4 MARKS]

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Solution

Each part: 2 Marks

(a) Given, ab and lm

Mark an angle 1 in the figure.

1=80 [Corresponding angles]

1 + x= 180 [Since lm,1 and x are cointerior angles]

x=18080

x=100


(b) 5=5x+35 (Alternate angles)
45+5=180 (Linear pair)
5=18045
=135

5x+35=135
5x=13535=100
x=1005=20


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