Question: You need to write the converse of this statement and decide whether it's true or false.Then select the correct answer.If two angles are supplementary in the sum of their measures is one hundred eighty
1. **State the problem:**
We are given the statement: "If two angles are supplementary, then the sum of their measures is one hundred eighty."
2. **Write the converse:**
The converse of a statement "If P, then Q" is "If Q, then P."
Original statement: If two angles are supplementary (P), then the sum of their measures is 180 (Q).
Converse: If the sum of two angles is 180, then the two angles are supplementary.
3. **Decide whether the converse is true or false:**
By definition, two angles are supplementary if their measures add up to 180 degrees.
Therefore, if the sum of two angles is 180, then the two angles are supplementary.
4. **Conclusion:**
The converse statement is **true**.
**Final answer:** The converse is "If the sum of two angles is 180, then the two angles are supplementary." This statement is true.