The sum of the measures of the angles in a linear pair isa)90°b)18...
- A linear pair consists of two adjacent angles whose non-common sides form a straight line.
- A straight line measures 180°.
- Therefore, the sum of the measures of the angles in a linear pair is 180°.
- This is because the angles add up to form a straight line, which is always 180°.
- Thus, the correct answer is B: 180°.
The sum of the measures of the angles in a linear pair isa)90°b)18...
The Concept of Linear Pair
A linear pair of angles is formed when two lines intersect. The angles that are adjacent to each other and share a common side are referred to as a linear pair.
Sum of Angles in a Linear Pair
- The two angles in a linear pair always lie on a straight line.
- A straight line measures 180 degrees.
Conclusion
- Therefore, the sum of the measures of the angles in a linear pair is always 180 degrees.
- This is why the correct answer is option 'B'.
Important Points to Remember
- Linear pairs are always supplementary, which means their angles add up to 180 degrees.
- This property is fundamental in geometry and helps in solving various problems involving angles.
Understanding this concept is crucial for further studies in geometry and helps in visualizing how angles interact with each other.