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Standard IX
Mathematics
Question
In each of the following figure AB || CD. Find the value of x in each case.
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Solution
Verified by Toppr
Draw a line
E
F
perpendicular to
A
B
and
C
D
passing through
M
In
△
B
M
E
∠
B
M
E
+
∠
M
B
E
+
∠
B
E
M
=
180
∘
(Angle sum proprerty)
∠
B
M
E
+
35
∘
+
90
∘
=
180
∘
∠
B
M
E
=
180
∘
−
125
∘
∠
B
M
E
=
45
∘
In
△
D
M
F
∠
D
M
F
+
∠
M
D
F
+
∠
M
F
D
=
180
∘
(Angle sum property )
∠
D
M
F
+
75
∘
+
90
∘
=
180
∘
∠
D
M
F
=
180
∘
−
165
∘
∠
D
M
F
=
15
∘
x
=
∠
D
M
F
+
∠
B
M
E
+
∠
E
M
F
x
=
15
∘
+
45
∘
+
180
∘
x
=
240
∘
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Similar Questions
Q1
In each of the following figure AB || CD. Find the value of x in each case.
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Q2
In each of the figures given below, AB || CD. Find the value of x in each case.