Answer:
Complete question is attached with.
Both the triangles are congruent by ASA property of congruence and the segment RT is congruent to FD.
Explanation:
From angle sum property of the triangle we can find the measure of the missing angles.
As for
we can find
which is
![180-(60+80)=40](https://img.qammunity.org/2020/formulas/mathematics/high-school/1i4xn6hdv7w01mq90if5vxjzy2nxdr3t2c.png)
And for
we can find
which is
![180-(60+40)=80](https://img.qammunity.org/2020/formulas/mathematics/high-school/yivssr8gtf7qaty2p0oezbmys398pmx5wu.png)
To find the congruence.
We see that
and
![\angle E=80\ (deg)](https://img.qammunity.org/2020/formulas/mathematics/high-school/287zcx54bew36m1glt16giaapg1nud0h34.png)
Then
along with
![\angle F=60\ (deg)](https://img.qammunity.org/2020/formulas/mathematics/high-school/etm9nhdjsbcaq2e46m5w9owoui4d5xzq2p.png)
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
and segemnt
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.