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Question

In the figure above, lines l and m are parallel and lines s and t are parallel. If the measure of 1 is 35o, what is the measure of 2?
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A
35o
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B
55o
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C
70o
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D
145o
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Solution

The correct option is D 145o
From the figure, we understand that 1 and 3 together form a straight line.
Thus, 1+3=1800
350+3=1800
3=1450
Now, since l and m are parallel lines cut by transversals s and t, 3 an 4 are corresponding angles.
We know that corresponding angles are equal. Thus 4=3=1450
Similarly 2 an 4 are corresponding angles.
Thus 2=4=1450
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