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

Question

Philoid · Accepted Answer

According to question,

AB || CD

AB || DF (DC is produced to F)

OCD=110^o

FCD = 180 – 110 = 70^o(linear pair)

Now in triangle FOC, we have

FOC + CFO + OCF = 180^o

FOC + 60 + 70 = 180^o

FOC = 180 – 130

=50^o

So, AOC = 50^o

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