Question
Read the Source Text given below and answer any four questions:
Maths teacher draws a straight line $AB$ shown on the blackboard as per the following figure.

$i.$ Now he told Raju to draw another line $CD$ as in the figure.
$ii.$ The teacher told Ajay to mark $\angle\text{AOD}$ as $2z.$
$iii.$ Suraj was told to mark $\angle\text{AOC}$ as 4y.
$iv.$ Clive Made and angle $\angle\text{COE}=60^\circ.$
$v.$ Peter marked $\angle\text{BOE}$ and $\angle\text{BOD}$ as $y$ and $x$ respectively.
Now answer the following questions:
$i.$ What is the value of $ x?$
$a. 48^\circ $
$b. 96^\circ $
$c. 100^\circ $
$d. 120^\circ $
$ii.$ What is the value of $y?$
$a. 48^\circ $
$b. 96^\circ $
$c. 100^\circ $
$d. 24^\circ $
$iii.$ What is the value of $z?$
$a. 48^\circ $
$b. 96^\circ $
$c. 42^\circ $
$d. 120^\circ $
$iv.$ What should be the value of $x + 2z?$
$a. 148^\circ $
$b. 360^\circ $
$c. 180^\circ $
$d. 120^\circ$
$v.$ What is the relation between $y$ and $z?$
$a. 2y + z = 90^\circ $
$b. 2y + z = 180^\circ $
$c. 4y + 2z = 120^\circ $
$d. y = 2z$

Answer

$(i)$ $(b)$ $96^\circ $
$(ii)$ $(d)$ $24^\circ $
$(iii)$ $(c)$ $42^\circ $
$(iv)$ $(c)$ $180^\circ $
$(v)$ $(a)$ $2y + z = 90^\circ $

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