Write the converse, inverse, and contrapositive of the statement below. If the two angles are complementary, then the angles are acute. Converse: Inverse: Contrapositive:

Certainly! Let's break down the original statement and then construct its converse, inverse, and contrapositive. **Original Statement:** - *If the two angles are complementary, then the angles are acute.* Here, - **P**: The two angles are complementary. - **Q**: The angles are acute. ### Converse: The converse of a statement switches the hypothesis and the conclusion. - **Converse:** *If the angles are acute, then the two angles are complementary.* ### Inverse: The inverse of a statement negates both the hypothesis and the conclusion. - **Inverse:** *If the two angles are not complementary, then the angles are not acute.* ### Contrapositive: The contrapositive of a statement both switches and negates the hypothesis and the conclusion. - **Contrapositive:** *If the angles are not acute, then the two angles are not complementary.* **Summary:** - **Converse:** If the angles are acute, then the two angles are complementary. - **Inverse:** If the two angles are not complementary, then the angles are not acute. - **Contrapositive:** If the angles are not acute, then the two angles are not complementary.