If two angles are both 25 degrees, then they are congruent angles.
6. Which of the following is a contrapositive of the statement?
*
If two angles are not congruent, then they are not both 25 degrees.
The contrapositive of the statement "If two angles are both 25 degrees, then they are congruent angles" is: "If two angles are not congruent angles, then they are not both 25 degrees."
To find the contrapositive of the statement, we need to negate the original statement and swap the hypothesis and conclusion.
The original statement is: "If two angles are both 25 degrees, then they are congruent angles."
The hypothesis is: "Two angles are both 25 degrees."
The conclusion is: "They are congruent angles."
To negate the original statement, we would say: "If two angles are not congruent angles, then they are not both 25 degrees."
So the contrapositive of the statement is: "If two angles are not congruent angles, then they are not both 25 degrees."