prove that if two lines intersect then the vertically opposite angles are equal?

Question

prove that if two lines intersect then the vertically opposite angles are equal?

Answer 1

Let's call these angles A and B. And let's call C the adjacent angle in the middle of these two angles.



Then we will have:



A + C = 180

B + C = 180



As a result, A = B = 180 - C

Answer 2

How approximately this.. you have 2 strains AB and CD that intersect at E. AEC + CEB = a hundred and eighty°... AEC + AED = a hundred and eighty°... subtract the two equations you get CEB - AED = 0 CEB = AED See the source under for a seen of the evidence

Answer 3

This diagram might help.