In the given figure, lines, and m intersect at o.
If x = 75°, find x,y and z.
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intersect at O, forming angles as shown in the figure. If x=45
o
, find the values of y,z and u.
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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
{∵y=u as they are vertically oppposite angles}
⇒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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