Question
In the given figure, $AD$ divides $\angle\text{BAC}$ in the ratio $1 : 3$ and $AB = DB$. Determine the value of $x$.



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| Section A | Section B | ||
|---|---|---|---|
| Marks | Frequency | Marks | Frequency |
| $0-10$ | $3$ | $0-10$ | $5$ |
| $10-20$ | $9$ | $10-20$ | $19$ |
| $20-30$ | $17$ | $20-30$ | $15$ |
| $30-40$ | $12$ | $30-40$ | $10$ |
| $40-50$ | $9$ | $40-50$ | $1$ |

|
Year
|
$1992$
|
$1993$
|
$1994$
|
$1995$
|
$1996$
|
$1997$
|
|
Manure $($in thousand tonnes$)$
|
$15$
|
$35$
|
$45$
|
$30$
|
$40$
|
$20$
|