3.In the given figure lines 'p' and 'q' are parallel. Find 'x' so lines 'l' and 'm' be parallel
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Answer:
In given figure, l parallel to n and q is a transversal.
∴6a=120
o
... Corresponding angle
⇒a=
6
120
o
=20
o
Now, p parallel to q and n is a transversal.
∴4c=120
o
... Corresponding angle
⇒c=
4
120
o
=30
o
... Equation 1
Also, m parallel to n and p is a transversal.
∴4c=3b ... Corresponding angle
⇒4×30
o
=3b ... from Equation 1
⇒b=
3
120
o
=40
o
Therefore, a=20
o
, b=40
o
and c=30
o
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