Answer:
Complete question is attached with.
Both the triangles are congruent by ASA property of congruence and the segment RT is congruent to FD.
Step-by-step explanation:
From angle sum property of the triangle we can find the measure of the missing angles.
As for [tex]\triangle RST[/tex] we can find [tex]\angle T[/tex] which is [tex]180-(60+80)=40[/tex]
And for [tex]\triangle EFD[/tex] we can find [tex]\angle E[/tex] which is [tex]180-(60+40)=80[/tex]
To find the congruence.
We see that [tex]\angle S=80\ (deg)[/tex] and [tex]\angle E=80\ (deg)[/tex]
Then [tex]\angle R=60\ (deg)[/tex] along with [tex]\angle F=60\ (deg)[/tex]
Between these two angles we have a segment that is equal in measure.
So two angles and a side in continuation, we can apply ASA property of congruence.
Now segment [tex]RT[/tex] and segemnt [tex]FD[/tex] are congruent as both the segment have equal measures on it.
So finally option A is the correct choice and both the triangles are congruent by ASA property.
And RT is congruent with FD.
