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Standard IX
Mathematics
Parallel Lines with Transversal
Question
In the figure
l
∥
m
and
p
is a transversal, find the value of
x
, giving necessary reasons.
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Solution
Verified by Toppr
Given:
l
∥
m
and
p
is the transversal.
When two parallel lines are cut by a transversal, the resulting
corresponding angles
are congruent.
Here,
5
x
and
2
x
+
24
are the corresponding angles.
⇒
5
x
=
2
x
+
24
⇒
5
x
−
2
x
=
24
⇒
3
x
=
24
⇒
x
=
24
3
⇒
x
=
8
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