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 BRay 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.