Question

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

Answer 1

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

Answer 2

Answer:

BAO + OCD + AOC = 180°

60° + 110° + AOC = 180°

170° + AOC = 180°

AOC = 180° - 170°

AOC = 10°