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Question

Prove that when two lines intersect, the vertically opposite angles are equal.

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Solution


We have to prove 1=3 & 2=4

1+2=180 .......(i) [Linear pair]

1=1802

Again, 3+2=180 .......(ii) [Linear pair]

3=1802

Hence, 1=3 [from (i) and (ii)]

Similarly, we can prove that 2=4.


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