Properties of Angles and Their Relationships

This video tutorial covers the types of angles based on their positions, including adjacent, vertically opposite, complementary, and supplementary angles. Each type is explained with definitions, properties, and examples. The video also includes exercises to identify and calculate these angles, enhancing understanding of their characteristics and relationships.

Which of the following is NOT a type of angle based on position?

• Adjacent angles

• Vertically opposite angles

• Acute angles

• Supplementary angles

What is a key characteristic of adjacent angles?

• They are formed by two parallel lines.

• Their sum is always 90 degrees.

• They share a common vertex and arm.

• They are always equal in measure.

If two angles are vertically opposite, what can be said about their measures?

• They are complementary.

• They are supplementary.

• They are equal.

• They are adjacent.

What is the sum of two complementary angles?

• 360 degrees

• 180 degrees

• 45 degrees

• 90 degrees

If angle A is 30 degrees, what is the measure of its complementary angle?

• 60 degrees

• 150 degrees

• 90 degrees

• 30 degrees

What is the sum of two supplementary angles?

• 45 degrees

• 90 degrees

• 180 degrees

• 360 degrees

If angle P is 120 degrees, what is the measure of its supplementary angle?

• 120 degrees

• 60 degrees

• 180 degrees

• 30 degrees

Which pair of angles is an example of supplementary angles?

• 45 degrees and 45 degrees

• 90 degrees and 90 degrees

• 30 degrees and 30 degrees

• 60 degrees and 120 degrees

In the context of angles, what does 'disjoint' mean?

• Angles that do not share a common vertex or arm.

• Angles that are equal in measure.

• Angles that form a straight line.

• Angles that are adjacent.

If angle X is 45 degrees, what is the measure of its complementary angle?

• 90 degrees

• 60 degrees

• 135 degrees

• 45 degrees