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Question

In the figure, AB || CD and 1:2=3:2. The measure of 6 is


  1. 72
  2. 108
  3. 36
  4. 144


Solution

The correct option is A 72
Let 1=3x and 2=2x
Now 1+2=180 (Linear pair)
3x+2x=180
5x=180x=36
2=2x=2×36
Since AB || CD, we have
6=2=72 (corresponding angles)

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