Which of the following is a contrapositive of the statement?(2 points)

Question

A If two angles are not congruent angles, then they cannot both be 25 degrees.
B If two angles are not 25 degrees, then they are not congruent angles.
C If two angles are congruent, they are both 25 degrees.
D None of the above.

Answer 1

The contrapositive of a statement switches the hypothesis and conclusion and negates both.

The given statement is "If two angles are not congruent angles, then they cannot both be 25 degrees."

The negation of "two angles are not congruent angles" is "two angles are congruent angles."
The negation of "they cannot both be 25 degrees" is "they can both be 25 degrees."

So, the contrapositive of the statement is: "If two angles are congruent angles, then they can both be 25 degrees."

Therefore, the correct answer is C) If two angles are congruent, they are both 25 degrees.