Question

If ∠XYZ is congruent to ∠DEF, then what corresponding angle is congruent to ∠X?

Answer 1

The corresponding angle congruent to ∠X in ∠XYZ, which is congruent to ∠DEF, is ∠D.

Step-by-step explanation:

If ∠XYZ is congruent to ∠DEF, then by the concept of congruent angles, we have corresponding angles that are equal in measure. To find the corresponding angle congruent to ∠X, we compare the positions of the angles in each congruent angle pair. Since ∠XYZ corresponds to ∠DEF, ∠X in ∠XYZ would correspond to ∠D in ∠DEF assuming that X corresponds to D, Y to E, and Z to F in the congruence statement. Therefore, ∠X is congruent to ∠D.