Question

In a given figure in trapezium ABCD if $AB\parallel CD$, then value of $x$ is:

• A. $\frac{29}{8}$
• B. $\frac{8}{29}$
• C. $20$
• D. $\frac{1}{20}$

Answer 1

The correct option is C $20$

In a trapezium,
$\Rightarrow \frac{OA}{OC}=\frac{OB}{OD}$
According to the figure
$\Rightarrow \frac{2}{5}=\frac{x-2}{2x+5}$
$\Rightarrow 4x+10=5x-10$
$\Rightarrow x=20$
Therefore, the value of $x=20$
Hence, option 'C' is correct.