Pairs of Angles

The video tutorial introduces intersecting lines and the point of intersection. It explains how intersecting lines form different types of angles, focusing on adjacent angles, linear pairs, and vertically opposite angles. Adjacent angles share a common arm and vertex, while linear pairs are adjacent and supplementary, summing to 180 degrees. Vertically opposite angles are equal and formed by intersecting lines in an 'X' shape. The tutorial provides examples and exercises to identify these angles in various figures.

What is the common point where intersecting lines meet called?

• Vertex

• Intersection

• Angle

• Arm

Which of the following is a feature of adjacent angles?

• They have a common vertex and a common arm.

• They are supplementary.

• They form a straight line.

• They are always equal.

Why do angles in figure 2 not qualify as adjacent angles?

• Their non-common arms are on the same side.

• They have a common arm.

• They do not have a common vertex.

• They do not have a common arm.

What is a linear pair of angles?

• Two angles that form a right angle.

• Two angles that share a common arm.

• Two angles that are adjacent and supplementary.

• Two angles that are equal.

In which figures do the angles form a linear pair?

• Figures 1 and 4

• Figures 2 and 3

• Figures 3 and 4

• Figures 1 and 2

What is true about vertically opposite angles?

• They share a common arm.

• They are always equal.

• They are always supplementary.

• They form a linear pair.

Which angles are vertically opposite in the first figure?

• Angles 1 and 2

• Angles 2 and 3

• Angles 3 and 4

• Angles 1 and 3