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Question

In the given figure, x=20,y=160,w=105,z=75

Which of the following is correct?

A
Ray m and ray n are opposite rays
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B
Ray l and ray n are opposite rays
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C
Ray p and ray n are opposite rays
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D
Ray l and ray m are parallel
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Solution

The correct option is B Ray l and ray n are opposite rays
Ray n and ray l contain two angles between them.
One of them is x+y and the other is z+w
x+y=20+160=180
z+w=75+105=180

Thus, ray n and ray l form a straight line. Since they start from the same point and are a part of the same line, they are opposite rays.

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