What are adjacent angles and linear pairs

The video tutorial explains the concepts of adjacent angles and linear pairs. Adjacent angles are two angles that share a side, while linear pairs are adjacent angles that are supplementary, meaning they add up to 180 degrees. The tutorial provides examples to illustrate these concepts, including using an angle bisector and examining angles in geometric figures like rectangles. The key takeaway is understanding the relationship between adjacent angles and linear pairs, and how linear pairs form a straight line due to their supplementary nature.

What defines two angles as adjacent?

• They share a common vertex.

• They share a common side.

• They are supplementary.

• They are equal in measure.

In the context of adjacent angles, what role does an angle bisector play?

• It creates two angles that are not adjacent.

• It divides an angle into two equal parts that are adjacent.

• It changes the measure of the original angle.

• It makes angles supplementary.

What is a key characteristic of linear pairs?

• They are adjacent and add up to 90 degrees.

• They are always equal in measure.

• They are adjacent and add up to 180 degrees.

• They share a common vertex but not a side.

How do linear pairs differ from adjacent angles?

• Linear pairs do not share a side.

• Linear pairs are not adjacent.

• Linear pairs are adjacent angles that are supplementary.

• Linear pairs are always equal in measure.

What does it mean for angles to have opposite rays?

• They share a common vertex but not a side.

• They are equal in measure.

• They are not adjacent.

• They form a straight line and are supplementary.