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Standard IX
Mathematics
Properties of Diagonal of a Parallelogram
MNOP is a par...
Question
MNOP is a parallelogram. Find the value of "x" (in degrees) from the figure given below.
127
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Solution
The correct option is
A
127
Given MNOP is a parallelogram.
Therefore, MN
∥
PO and MP is the transversal line.
So,
∠
P and
∠
M are co-interior angles.
∴
∠
P
+
∠
M
=
180
∘
⟹
53
∘
+
x
=
180
∘
⟹
x
=
180
∘
−
53
∘
⟹
x
=
127
∘
∴
x
=
127
∘
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