What is a linear pair theorem?
Understand the Problem
The question is asking for a definition or explanation of the linear pair theorem, which is a concept in geometry regarding angles. A linear pair is formed when two adjacent angles are created by two intersecting lines, and the theorem states that the angles in a linear pair are supplementary, meaning they add up to 180 degrees.
Answer
If two angles form a linear pair, their measures add up to 180°.
The linear pair theorem states that if two angles form a linear pair, then the measures of the angles add up to 180°.
Answer for screen readers
The linear pair theorem states that if two angles form a linear pair, then the measures of the angles add up to 180°.
More Information
A linear pair is a pair of adjacent, supplementary angles. Adjacent means next to each other, and supplementary means that the measures of the two angles add up to equal 180°.
Tips
A common mistake is not recognizing that the angles must be both adjacent and supplementary to form a linear pair.
Sources
- What is the linear pair theorem? - Quora - quora.com
- Linear Pair - Definition, Postulate, Axiom, Theorem, & Examples - mathmonks.com
- Linear Pair of Angles - Definition, Axiom, Examples - Cuemath - cuemath.com
