Q21 of 153 Page 148

In the given figure, AB || CD. If ∠ABO = 130° and ∠OCD = 110°, then ∠BOC = ?

According to question,

AB || CD

AF || CD (AB is produced to F, CF is traversal)

DCF=BFC=110^o

Now, BFC + BFO = 180^o(Sum of angles of Linear pair is 180^o)

BFO = 180^o – 110^o = 70^o

Now in triangle BOF, we have

ABO = BFO + BOF

130 = 70 + BOF

BOF = 130 – 70 =60^o

So, BOC = 60^o

In the given figure AB || CD. If ∠OAB = 124°, ∠OCD = 136°, then ∠AOC = ?

In the given figure AB || CD and O is a point joined with B and D, as shown in the figure such that ∠ABO = 35 and ∠CDO = 40°. Reflex ∠BOD = ?

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

In the given figure, AB || CD. If ∠AOC = 30° and ∠OAB = 100°, then ∠OCD = ?