Question

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Answer 1

the two lines are parallel, the angle they make should be equal and one angle is common so the triangles are similar by AAA.

Now the ratio of sides are $\frac{20+8}{20}=\frac{x+18}{x}$

use divideno, $\frac8{20}=\frac{18}x$

and then inverse the whole equation to get $x=20\times\frac{18}{8} \implies x= 45$

Answer 2

Answer:

$\Large \boxed{\mathrm{B) \ 45}}$

Step-by-step explanation:

We can solve the problem using ratios.

$\displaystyle \frac{x}{20} =\frac{x+18}{20+8}$

Cross multiply.

$20(x+18)=x(20+8)$

Expand brackets.

$20x+360=28x$

Subtract 20x from both sides.

$360=8x$

Divide both sides by 8.

$45=x$