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Question

If line a is parallel to b, line p is parallel to line DF and line q is perpendicular to both parallel lines a & b.
What is the value of x in the figure given below ?


A
40o
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B
80o
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C
50o
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D
45o
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Solution

The correct option is C 50o
In the above figure,
y=40o ( Corresponding angles)
z+y=90o ( q is perpendicular to a & b)
z=90o40o
z=50o
Now,
z=w ( Corresponding angles)
w=50o
Also,
x=w ( Corresponding angles)
So, x=50o
Hence, option(c) is correct.

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