Hey there!
The answer is 58 degrees
Since ΔABC ~ ΔDEF, then m∠A ~ m∠D, and m∠B ~ m∠E, and m∠C ~ m∠F. This means we can set m∠A equal to m∠D:
x + 29 = 2x
Subtract x from both sides:
29 = x
Now, we plug into the angle expressions to find their measurement:
m∠A = 29 + 29
m∠A = 58
Since they are equal, m∠A and m∠D are both 58 degrees.
Have a terrificly amazing day! :)