Answer:
A = 40
D = 40
Explanation
The triangle ABE and DEF congruent, meaning they have the same measures of sides and angles.
This means angles A and D are equal; therefore,
[tex]x+20=2x[/tex]subtracting x from both sides gives
[tex]20=x\text{. }[/tex]With the value of x in hand, we now find the measures of A and B
[tex]\begin{gathered} \angle A=x+20 \\ \angle A=40. \end{gathered}[/tex]and
[tex]\begin{gathered} \angle D=2x \\ \angle D=40. \end{gathered}[/tex]Hence,
[tex]\begin{gathered} \angle A=40 \\ \angle D=40 \end{gathered}[/tex]
