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Question

In the figure, AB || CD and 1:2=3:2. The measure of 8 is 72 .


A
True
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B
False
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Solution

The correct option is A True
Let 1=3x and 2=2x
Now 1+2=180 (Linear pair)
3x+2x=180
5x=180x=36
2=2x=2×36=72

Since AB || CD, we have
8=6=2=72 (corresponding angles)

Hence, the statement is true.

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