Question

prove
that if two
the vertically
lines intersect each other then The vertically opposite angles are equal


​

Answer 1

Given- Two lines AB and CD intersect at O.(draw figure as I don't know how to add photo)

To prove=angle AOD=angle BOC

angle AOC=angle BOD

proof-A ray OB falls on CD

BOC+BOD=180-----------(1)

Again,A ray OC falls on AB

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

From(1) and (2) ,we get

BOC+BOD=AOC+BOC

BOD=AOC

similarly,AOD=BOC

proved

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Answer 2

Answer:

Step-by-step explanation:

BOC+BOD=180-----------(1)

Again,A ray OC falls on AB

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

From(1) and (2) ,we get

BOC+BOD=AOC+BOC

BOD=AOC

similarly,AOD=BOC

proved