Question

А
B
108°
29. In the adjoining figure,
it is given that AB || CD.
IfZ BAO = 108° and Z OCD = 120°,
find ZAOC
o
120°
D
C С​

Answer 1

Answer: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  

∘

Step-by-step explanation: