question_answer

\[\mathbf{PQ}\parallel \mathbf{RS}\], as shown in the figure. Find the value of x.

A)  \[{{90}^{{}^\circ }}\]                                   

B)  \[{{80}^{{}^\circ }}\]

C)  \[{{100}^{{}^\circ }}\]   

D)  \[{{150}^{{}^\circ }}\]

Correct Answer: C

Solution :

(c): \[\Rightarrow \]\[x+{{10}^{{}^\circ }}={{70}^{{}^\circ }}+{{40}^{{}^\circ }}\] \[\Rightarrow \] \[x={{100}^{{}^\circ }}\]