ExplanationA parallelogram has two angles as seen in image below.
Now we know from the question = \(\angle A - \angle B = 52\).
And \(\angle A + \angle B + \angle A + \angle B =360\)
Since sum of angles in a quadrilateral. is 360.
\(2 \times (\angle A + \angle B) = 360\)
or \(\angle A + \angle B = 180\).
Solving for values of \(\angle A\) and \(\angle B\).
\(\angle A = 116\) and \(\angle B = 64\).
Hence C is correctAttachment:
quadrilateral-parallelogram.gif [ 1.79 KiB | Viewed 5044 times ]
_________________
SandyIf you found this post useful, please let me know by pressing the Kudos ButtonTry our free Online GRE Test