EXERCISE 8.3
1. In Fig. 8.56, lines l, and lz intersect at O, forming angles as shown in the figure. If x = 45,
find the values of y, z and u.
Answers
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Step-by-step explanation:
Given, x=45
o
As per the diagram, two lines l
1
& l
2
intersected to form two pairs of vertically opposite angles.
x=z -- (1)
u=y --(2)
From (1)
x=z=45
o
.
We also know that the sum of all the angles around a point is 360
o
x+u+z+y=360
o
45+u+45+u=360
o
90+2u=360
o
2u=270
o
u=135
o
=>y=135
o
∴ x=45
o
,z=45
o
,u=135
o
and y=135
o
.
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