IN A PARALLELOGRAM ABCD,IF ANGLE B =65 DEGREE,WHAT IS THE MEASURE OF ANGLE C?

Dear Student,



Since, in a parallelogram, opposite sides are parallel and equal.

And, as opposite sides are parallel, thus, in the figure, angle B and x will be equal as they are corresponding angles.
Thus, x=65

Now, as sum of angle C and angle x is 180 (angles on the line)

$$\begin{gathered} \angle C+\angle x=180 \\ or, \angle C+65=180 \\ or, \angle C=180-65 \\ or, \angle C=115 \end{gathered}$$

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