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Question
In the given figure, ∠x=20∘,∠y=160∘,∠w=105∘,∠z=75∘
Which of the following is correct?
In the given figure, ∠x=20∘,∠y=160∘,∠w=105∘,∠z=75∘
Which of the following is correct?
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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.
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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