Answer:
Step-by-step explanation:
Start
<F = <Q                     Given
<GPF = <RPQ           Vertically opposite angles
<FGP = <QRP            A triangle has 180 degrees. 2 equal angles means the third pair must be equal
Triangle GPF ~ Triangle RPQ   AAA
end
I don't see any way to make these triangles similar except by stating the statement and why it is so. There really are no yes / no choices. If you get another answer, choose it.
20
JL/LE = 90/27                 Given
KL /LD = 90/27               Given
<JLK = <DLK                   Vertically opposite
Are the ratios equal       Yes  Then is the angle included Yes
Then the triangles are similar.
Are the ratios not equal  No then the triangles cannot be similar
Is the angle not included  Then similarity cannot be proved.
ΔJLK ≈ ΔDLK                  Equal Ratios and included angle === similarity