Question
 
Read the Source/ Text given below and answer these questions: Reeta and Rohan were playing a game on parallel lines and the angles formed with the transverse line$($ie alternate angles, corresponding angle and interior angles$)$. First Reeta drew a straight line $AB,$ then Rohan drew another straight line $CD \| AB$. Further, a transverse line $PQ $ was drawn which intersects lines $AB$ and $CD$ at points $X$ and $Y$ respectively.

 Now they did toss with a coin and Rohan won the toss. Following were the rules of the game:
$i.$ Toss winner will ask a question and others will answer.
$ii.$ If the answer is correct then person answering will ask question else questioner will ask next question.
$iii.$ Who wins the last question he/ she will be the winner.
$iv.$ Total of $5$ questions will be asked.
Based on the above paragraph please answer these questions:
$i.$ Which is the alternate angle to $\angle\text{6}?$
$a. \angle1$
$b. \angle2$
$c. \angle3$
$d. \angle4$
$ii.$ Which is the corresponding angle to $\angle1?$
$a. \angle4$
$b. \angle5$
$c. \angle6$
$d. \angle7$
$iii.$ If $\angle4=120^\circ$ then what is measure of $\angle6?$
$a. 80^\circ $
$b. 120^\circ $
$c. 100^\circ $
$d. 60^\circ $
$iv.$ What is the sum of $\angle3$ and $\angle5?$
$a. 180^\circ $
$b. 160^\circ $
$c. 100^\circ $
$d. 60^\circ $
$v. \angle5$ is equal to which of the following pair of angles$?$
$a. \angle7\text{ and }\angle\text{8}$
$b. \angle6\text{ and }\angle\text{7}$
$c. \angle4\text{ and }\angle\text{8}$
$d. \angle7\text{ and }\angle\text{8}$
 

Answer

$(i)$ $(c)$ $\angle3$
$(ii)$ $(b)$ $\angle5$
$(iii)$ $(d)$ $60^\circ $
$(iv)$ $(a)$ $180^\circ $
$(v)$ $(c)$ $\angle4$ and $\angle\text{8}$

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