For the following questions, use the statement below

To analyze the statement "If two angles are both 25 degrees, then they are congruent angles," we first identify its components:

1. Original Statement (P → Q):
   • P: "Two angles are both 25 degrees."
   • Q: "They are congruent angles."

Now we can define the three derived forms:

1. Converse: The converse of an implication is formed by reversing the two parts, thus it becomes:

   • Q → P: "If they are congruent angles, then they are both 25 degrees."
   • Answer: "if two angles are congruent, then they are both 25 degrees".

2. Inverse: The inverse negates both parts of the original statement, which gives us:

   • ¬P → ¬Q: "If two angles are not both 25 degrees, then they are not congruent angles."
   • Answer: "If two angles are not 25 degrees, then they are not congruent angles."

3. Contrapositive: The contrapositive negates and reverses the original statement:

   • ¬Q → ¬P: "If they are not congruent angles, then they cannot both be 25 degrees."
   • Answer: "if two angles are not congruent angles, then they cannot both be 25 degrees."

Now, let's summarize:

1. Converse of the statement:

   • Answer: if two angles are congruent, then they are both 25 degrees.

2. Inverse of the statement:

   • Answer: If two angles are not 25 degrees, then they are not congruent angles.

3. Contrapositive of the statement:

   • Answer: if two angles are not congruent angles, then they cannot both be 25 degrees.