Properties of Angles and Relationships

The video tutorial covers solving for X in various geometric contexts, including vertical angles and alternate interior angles. It explains how to use these values to find specific angle measures and evaluates the truth of statements about angle properties. The tutorial emphasizes the congruence of vertical and alternate interior angles and the supplementary nature of certain angle pairs.

What is the value of x if the expressions 5x and 7x - 20 are set equal due to vertical angles?

• 5

• 10

• 15

• 20

If angle CAG is supplementary to a 50-degree angle, what is the measure of angle CAG?

• 150 degrees

• 130 degrees

• 120 degrees

• 100 degrees

What is the measure of angle CAG if it is supplementary to a 50-degree angle?

• 120 degrees

• 130 degrees

• 150 degrees

• 100 degrees

What is the relationship between angles on opposite sides of a transversal inside parallel lines?

• They are congruent

• They are equal to 90 degrees

• They are supplementary

• They are complementary

How do you find the measure of angle W if x is 35?

• Use 2x + 10

• Use 3x + 16

• Use 7x - 20

• Use 5x - 54

What is the measure of angle W if 3x + 16 equals 121 degrees?

• 150 degrees

• 121 degrees

• 135 degrees

• 105 degrees

Which statement is true about vertical angles?

• They are always congruent

• They are always equal to 90 degrees

• They are always complementary

• They are always supplementary

What is the sum of same side interior angles?

• 360 degrees

• 90 degrees

• 180 degrees

• 270 degrees

Which of the following is true about alternate interior angles?

• They are equal to 180 degrees

• They are complementary

• They are supplementary

• They are congruent

Which statement is false about same side exterior angles?

• They are equal to 90 degrees

• They are supplementary

• They have a sum of 180 degrees

• They are congruent