# In the given figure, AB || CD. If ∠BAO = 60° and ∠OCD = 110°, then ∠AOC = ?A. 70°B. 60°C. 50°D. 40°

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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