Congruent angles simply refer to those angles that are the same size.
The rules for congruent angles with parallel lines and transversal are that the angles must be:
1) Alternate Interior Angles
2) Alternate Exterior Angles
3) Corresponding Angles
4) Vertical Angles.
Now, let us check each option individually:
OPTION A: Angles 1 and 7
Angles 1 and 7 are alternate exterior angles.
Therefore, they are CONGRUENT.
OPTION B: Angles 3 and 5
Angles 3 and 5 are alternate interior angles.
Therefore, they are CONGRUENT.
OPTION C: Angles 4 and 6
Angles 4 and 6 are corresponding angles.
Therefore, they are CONGRUENT.
OPTION D: Angles 2 and 5
Angles 2 and 5 do not have any particular relationship with each other.
Therefore, they are NOT CONGRUENT.
Hence, OPTION D is correct.
