Exploring Angle Pair Relationships

The video tutorial covers various angle relationships, including adjacent, vertical, linear pairs, supplementary, and complementary angles. It explains how to identify these relationships and solve related problems using both geometric and algebraic methods. The tutorial emphasizes the importance of understanding these concepts to solve angle-related problems effectively.

What is the defining characteristic of adjacent angles?

• They are always supplementary.

• They are always equal.

• They share a common side.

• They are always complementary.

Which of the following is true about vertical angles?

• They are always adjacent.

• They are always congruent.

• They are always supplementary.

• They are always complementary.

What is a linear pair of angles?

• Two angles that are vertical and congruent.

• Two angles that are adjacent and supplementary.

• Two angles that are adjacent and congruent.

• Two angles that are adjacent and complementary.

What is the sum of the measures of supplementary angles?

• 360 degrees

• 45 degrees

• 90 degrees

• 180 degrees

Which of the following pairs of angles are complementary?

• Two angles that are vertical.

• Two angles that are adjacent.

• Two angles that add up to 90 degrees.

• Two angles that add up to 180 degrees.

If two angles are complementary and one angle measures 30 degrees, what is the measure of the other angle?

• 60 degrees

• 90 degrees

• 30 degrees

• 150 degrees

If two angles form a linear pair and one angle measures 120 degrees, what is the measure of the other angle?

• 30 degrees

• 90 degrees

• 120 degrees

• 60 degrees

In a pair of vertical angles, if one angle measures 45 degrees, what is the measure of the other angle?

• 45 degrees

• 135 degrees

• 180 degrees

• 90 degrees

If angle A and angle B are supplementary and angle A measures 110 degrees, what is the measure of angle B?

• 80 degrees

• 70 degrees

• 110 degrees

• 90 degrees

If angle X and angle Y are complementary and angle X measures 25 degrees, what is the measure of angle Y?

• 65 degrees

• 75 degrees

• 85 degrees

• 55 degrees