1. **State the problem:** A student claims that the sum of the measures of a pair of adjacent angles must equal 180°.
2. **Recall definitions:** Adjacent angles share a common vertex and a common side but do not necessarily sum to 180°.
3. **Important rule:** When two adjacent angles form a straight line, they are called a linear pair, and their measures sum to 180°.
4. **Evaluate the student's claim:** The student says the sum must be 180°, but this is only true if the adjacent angles form a linear pair (i.e., lie on a straight line).
5. **Conclusion:** Adjacent angles do not always sum to 180°; they only do so if they form a linear pair.
**Correct answer:** D) The student is not correct; a pair of adjacent angles must share a common vertex, share a common side, and not overlap. They may equal 180° but do not have to.
Adjacent Angles 9B9Be5
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