Identify the hypothesis and conclusion of the conditional statement. The sum of the measures of two supplementary angles is \( 180^{\circ} \) Hypothesis: Conclusion: If-then statement:

Certainly! Let's break down the conditional statement related to supplementary angles. **Given Statement:** "The sum of the measures of two supplementary angles is \( 180^{\circ} \)." **Definitions:** - **Supplementary Angles:** Two angles whose measures add up to \( 180^{\circ} \). **Identifying the Components:** 1. **Hypothesis (Antecedent):** - **Statement:** "Two angles are supplementary." - **Explanation:** This is the condition or premise that needs to be true for the conclusion to follow. 2. **Conclusion (Consequent):** - **Statement:** "Their measures add up to \( 180^{\circ} \)." - **Explanation:** This is what follows from the hypothesis if the condition is met. 3. **If-Then Statement:** - **Formulation:** "If two angles are supplementary, then their measures add up to \( 180^{\circ} \)." - **Explanation:** This clearly delineates the condition (if) and the resulting outcome (then). **Summary:** - **Hypothesis:** Two angles are supplementary. - **Conclusion:** Their measures add up to \( 180^{\circ} \). - **If-Then Statement:** If two angles are supplementary, then their measures add up to \( 180^{\circ} \).