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Question

In Fig., line lm and a transversal n cuts them at P and Q respectively. If 1=75, find all other angles.

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Solution

In the given figure, lm , n is a transversal line and 1=75
Thus, we have:

1+2=180 [Since, Linear pair]

2=1801

2=18075

2=105

Now, 1=3=75 [Vertically opposite angles]

1=5=75 [Corresponding angles]

5=7=75 [Vertically opposite angles]

2=6=105 [Corresponding angles]

8=6=105 [Vertically opposite angles]

4=2=105 [Vertically opposite angles]

Therefore,

2=105

3=75

4=105

5=75

6=105

7=75

8=105


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