Question

Theorem : Prove that vertically opposite angles formed by two intersecting lines are equal.
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Answer 1

Answer:

If two lines intersect each other, then the vertically opposite angles are equal. In the statement above, it is given that 'two lines intersect each other'. So, let AB and CD be two lines intersecting at O as shown in Fig

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

You can refer above image

On line AB, linear pair

<AOD+<BOD=180°

IN LINE CD, Linear pair

<AOD+<AOC=180°

RHS 180° IS EQUAL AND THROUGH EQUATING

<AOD+<BOD=<AOD+<AOC

<AOD IS COMMON, SO ELIMINATE IT

<BOD=<AOC

Similarly, vice versa other opposite angle will be equal

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