Final answer:
Angle A in triangle XYZ is 40 degrees
Step-by-step explanation:
To find angle A in triangle XYZ, we can use the fact that triangle XYZ is congruent to triangle MAE. Since angle Z is given as 80 degrees in triangle XYZ, angle Z in triangle MAE is also 80 degrees. Similarly, since angle X is 60 degrees in triangle XYZ, angle X in triangle MAE is also 60 degrees. Finally, since the sum of angles in a triangle is always 180 degrees, we can find angle A by subtracting the sum of angles Z and X from 180 degrees:
Angle A = 180° - (Angle Z + Angle X) = 180° - (80° + 60°) = 180° - 140° = 40°