question_answer

If \[AB||CD,\] \[\angle ABO={{118}^{o}}\] and \[\angle BOD={{152}^{o}}\]. Then find \[\angle ODC\].  

A)  70°             

B)  80°

C)  90°             

D)  34°

Correct Answer: C

Solution :

\[\angle \,ABO={{180}^{\text{o}}}\] \[\therefore \] \[\angle \,MOB={{180}^{o}}-{{118}^{o}}={{62}^{o}}\] \[\therefore \] \[\angle \,MOB={{152}^{o}}-{{62}^{o}}={{90}^{o}}\] \[\therefore \] \[\angle \,ODC={{180}^{o}}-{{90}^{o}}={{90}^{o}}\]