Q. 225.0( 5 Votes )

In the given figure, AB || CD. If BAO = 60° and OCD = 110°, then AOC = ?


A. 70°

B. 60°

C. 50°

D. 40°

Answer :

According to question,


AB || CD


AB || DF (DC is produced to F)


OCD=110o


FCD = 180 – 110 = 70o(linear pair)


Now in triangle FOC, we have


FOC + CFO + OCF = 180o


FOC + 60 + 70 = 180o


FOC = 180 – 130


=50o


So, AOC = 50o

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