Question

q.8 in the given figure AB ll CD. angle A =115⁰ and angle C = 130⁰. find angle AOC​

Answer 1

Answer:

Correct option is

C

132

∘

Through O draw a line EOF parallel to AB

now EF || AB and CD||AB

∵ AB || EF and AO is a transversal

we have

∠AOF+∠OAB=180

∘

∠AOF+108

∘

=180

∘

∠AOF=72

∘

∵ EF|| CD and OC is transversal

so

∠COF+∠OCD=180

∘

∠COF+120

∘

=180

∘

∠COF=60

∘

∴∠AOC=∠AOF+∠COF

=72

∘

+60

∘

=132

∘