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The original statement is: "If the measures of two angles have a sum of 180°, then they are supplementary."

To find the converse, you swap the hypothesis and conclusion. So the converse would state: "If two angles are supplementary, then their measures have a sum of 180°."

Looking at the options:

- The correct answer is the last option: **"If two angles are supplementary, then their measures have a sum of 180°."**

Would you like any further explanation, or do you have any questions?

### 5 Related Questions:
1. What is the definition of supplementary angles?
2. What is the converse of a conditional statement in geometry?
3. Can two angles be supplementary if both are less than 90°?
4. What is the contrapositive of the original statement?
5. How do supplementary angles differ from complementary angles?

### Tip:
To find the converse of any statement, always swap the hypothesis and conclusion.

Complete the converse of the given statement: 'If the measures of two angles have a sum of 180°, then they are supplementary.'

Explore the converse of the statement: 'If the measures of two angles have a sum of 180°, then they are supplementary.' This question covers key geometric concepts of supplementary angles and converse statements, suitable for students in Grades 7-10.

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