question_answer

In the figure given, \[a||b\] and \[c||d\]. If \[\angle 1={{75}^{o}},\] what is the measure of \[\angle 3\]?

A)  \[{{105}^{o}}\]                  

B)  \[{{105}^{o}}\]

C)  \[{{75}^{o}}\]                   

D)         \[{{100}^{o}}\]

Correct Answer: A

Solution :

 Given \[a||b\] and \[c||d\]and \[\angle 1={{75}^{o}}\] Since \[a||b\],  \[\angle 1=\angle 2\] Also \[c||d,\]    \[\Rightarrow \]   \[\angle 2+\angle 3={{180}^{o}}\] \[\therefore \]   \[\angle 3={{105}^{o}}\]