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

Question

Philoid · Accepted Answer

Draw a line EF such that EF || AB and EF || CD crossing point O.

FOC + OCD = 180^o (Sum of consecutive interior angles is 180^o)

FOC = 180 – 136 = 44^o

EF || AB such that AO is traversal.

OAB + FOA = 180^o(Sum of consecutive interior angles is 180^o)

FOA = 180 – 124 = 56^o

AOC = FOC + FOA

= 56 + 44

=100^o

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