Question

(Please help!!)

Answer 1

Answer:

The correct option is D.

Step-by-step explanation:

It is given that Triangle LMN is similar to triangle PQR.

If two triangles are similar, then the corresponding angles are equal and the corresponding sides are proportional.

By the definition of similar triangles, in triangle LMN and PQR,

$\angle L=\angle P$

$\angle M=\angle Q$

$\angle N=\angle R$

It is given that the tangent of angle L is $\frac{9}{19}$.

$\tan L=\frac{9}{19}$

$\tan P=\frac{9}{19}$                $[\because \angle L=\angle P]$

Therefore option D is correct.