A) \[60{}^\circ \]
B) \[75{}^\circ \]
C) \[45{}^\circ \]
D) \[135{}^\circ \]
Correct Answer: C
Solution :
We have \[\angle ADB=\angle CBD={{60}^{\text{o}}}\,\,(\because \,AD||BC)\] In \[\Delta \,ADB\] \[\angle A+\angle ADB+\angle ABD={{180}^{\text{o}}}\] \[{{75}^{\text{o}}}+{{60}^{\text{o}}}+\angle ABD={{180}^{\text{o}}}\] \[\angle ABD={{180}^{\text{o}}}-{{135}^{\text{o}}}\] \[\therefore \] \[\angle ABD={{45}^{\text{o}}}\]You need to login to perform this action.
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