Question

how to solve theorem if two lines intersect each other, then the vertically opposite angles are equal ​

Answer 1

Answer:

Given:Let two lines be AB and CD intersect at o.

R.T.P: AOD=BOC

Step-by-step explanation:

Proof: AOD+AOC=180---------- (1)

AOC+BOC=180------------(2)

From (1) &(2),we get

AOD+AOC=AOC+BOC

AOD+AOC-AOC=BOC

Now, Positive and negative( AOC) will be cancel

Then,AOD =BOC

Proved

Answer 2

Question:If two lines intersect each other,then the vertically opposite angle are equal

Explanation:

Given:Two lines AB and CD intersect at a point O

To prove:i)<AOC=<BOD ii)<AOD=<BOC

Proof:Since ray OA stands on line CD,we have

<AOD+<BOD=180° {Linear pair}

Again,ray OD stands on line AB

<AOD+<BOD=<AOD+<BOD

<AOC=<BOD

Similarly,<AOD=<BOC