im confused with adjacent angles and linear pairs...help please! ! !

http://www.mathwords.com/a/adjacent_angles.htm

http://www.mathwords.com/l/linear_pair_of_angles.htm

thanks that helped alot =]

You're welcome.

Sure, I can help explain adjacent angles and linear pairs to you!

Adjacent angles are two angles that have a common vertex (endpoint) and a common side, but they do not overlap. In other words, they are side by side and share a ray. To identify adjacent angles, you can visually look for angles that meet at a point and share a side.

On the other hand, linear pairs are a specific type of adjacent angles. They are formed when two adjacent angles are formed by two intersecting lines. In a linear pair, the sum of the angles is always 180 degrees. This means that the two angles together form a straight line.

To help visualize this, imagine two lines intersecting at a point. The angles on one side of the intersection are adjacent angles, while the angles on the other side of the intersection are also adjacent angles. However, the angles on one side of the intersection form a linear pair because their sum is 180 degrees.

To determine whether two angles are adjacent or form a linear pair, you can follow these steps:

1. Identify the common vertex: Look for the point where the two angles meet.

2. Look for the common side: Check if the two angles share a side, meaning they have a ray in common.

3. If the angles share a common vertex and a common side, they are adjacent angles.

4. If the angles are adjacent and on the same line, their sum is 180 degrees, making them a linear pair.

Remember, adjacent angles are simply angles next to each other, while linear pairs are adjacent angles that together form a straight line.

I hope this clarifies the concepts of adjacent angles and linear pairs for you! If you have any further questions, feel free to ask.