1.

In the given figure (not to scale), `bar(AB)||bar(QP)||bar(SD)|` and also `bar(QR)| |bar(DP)`. Find x

Answer» (a) QSDP is a parallelogram.
(b) Find `/_QSC`, as vertically opposite angles are equal.
(c ) `/_ QSD` and `/_ SDP` are supplementary as they are the angles on the same side of the transversal. Use this to find `/_SDP`.
(d) `/_SDP` and x are corresponding angles.


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