1.

In the adjoining figure, \[\mathbf{AB}\parallel \mathbf{CD}\] and PQ, QR intersect AB and CD both at E, F and G, H respectively. Given that \[\angle \mathbf{PEB}=\mathbf{7}{{\mathbf{0}}^{{}^\circ }},\]\[\angle \mathbf{QHD}=\mathbf{13}{{\mathbf{0}}^{{}^\circ }}\]and \[\angle \,\mathbf{PQR=x}{}^\circ ,\] find the value of \[{{\mathbf{x}}^{{}^\circ }}\].

A.  \[{{40}^{{}^\circ }}\]                      
B.  \[{{10}^{{}^\circ }}\]
C.  \[{{20}^{{}^\circ }}\]
D.  \[{{30}^{{}^\circ }}\]
Answer» D.  \[{{30}^{{}^\circ }}\]


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