Answer:
angle E = angle X; DF = WY
see the explanation
Step-by-step explanation:
The options of the question are
(A) angle E = angle X; DF = XY
(B) angle D = angle Y; EF = XY
(C) angle E = angle X; DF = WY
(D) angle F = angle X; DE = WX
we know that
If two figures are congruent, then its corresponding sides and its corresponding angles are congruent
In this problem
Triangles DEF and WXY are congruent
so
Corresponding sides are named using pairs of letters in the same position on either side of the congruence statement
DE≅WX
EF≅XY
DF≅WY
Corresponding angles are named using a letter in the same position on either side of the congruence statement
∠D≅∠W
∠E≅∠X
∠F≅∠Y
therefore
angle E = angle X; DF = WY
