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Byju's Answer
Standard VII
Mathematics
Checking If Two or More Lines Are Parallel
In figure, if...
Question
In figure, if lines
l
and
m
are parallel, then
x
=
A
20
0
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B
65
0
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C
45
0
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D
85
0
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Solution
The correct option is
C
45
0
Given:
l
|
|
m
As,
65
0
and
∠
1
are corresponding angles
∴
∠
1
=
65
0
....(i)
In a triangle, the exterior angle is equal to the sum of the opposite interior angles.
∠
1
=
x
+
20
0
⇒
65
0
=
x
+
20
0
(from i)
⇒
x
=
65
0
−
20
0
⇒
x
=
45
0
Hence optian (b) is correct.
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Similar questions
Q.
In the given figure, if lines l and m are parallel lines, then x =
(a) 70°
(b) 100°
(c) 40°
(d) 30°