If two lines interested, prove that vertically opposite angels are equal
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Line AB nd CD intersect each other at O - given
To prove : AOD=COB
& AOC = DOB
Proof: AOB =180 ( linear pair axiom)
AOC + COB= 180 - ( EQUATION 1
similarly: COD=180 ( L.P.A.)
COB + DOB=180 -( EQUATION 2
FROM 1 & 2 we get
AOC + COB = COB +DOB
AOC + COB - COB =DOB
AOC = DOB
lly:AOD = COB
hence proved
To prove : AOD=COB
& AOC = DOB
Proof: AOB =180 ( linear pair axiom)
AOC + COB= 180 - ( EQUATION 1
similarly: COD=180 ( L.P.A.)
COB + DOB=180 -( EQUATION 2
FROM 1 & 2 we get
AOC + COB = COB +DOB
AOC + COB - COB =DOB
AOC = DOB
lly:AOD = COB
hence proved
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