Exploring Vertical and Angle Relationships

The video tutorial begins with a warm-up session solving equations with variables on both sides. It then transitions to the main focus on angles, covering vertical, complementary, and supplementary angles. Each type of angle is explained with examples, and the relationships between angles are used to form algebraic equations. The tutorial concludes with practice problems to reinforce the concepts learned.

What is the value of x in the equation 2x - 12 = 36?

• 30

• 18

• 24

• 12

If 5x - 16 + 7x - 20 = 90, what is the value of x?

• 12

• 10.5

• 21

• 15

What is the sum of complementary angles?

• 180 degrees

• 90 degrees

• 120 degrees

• 60 degrees

Which of the following pairs of angles are complementary?

• 45 degrees and 45 degrees

• 60 degrees and 120 degrees

• 30 degrees and 60 degrees

• 90 degrees and 90 degrees

What is the sum of supplementary angles?

• 90 degrees

• 180 degrees

• 60 degrees

• 120 degrees

Which of the following pairs of angles are supplementary?

• 30 degrees and 60 degrees

• 60 degrees and 120 degrees

• 45 degrees and 45 degrees

• 90 degrees and 90 degrees

What is the relationship between vertical angles?

• They are complementary

• They are adjacent

• They are supplementary

• They are congruent

If two intersecting lines form a pair of vertical angles, and one angle is 60 degrees, what is the measure of the opposite angle?

• 60 degrees

• 120 degrees

• 180 degrees

• 90 degrees

In the equation 3x + 15 = 39, what is the value of x?

• 6

• 8

• 10

• 12

If two angles are complementary and one angle is 35 degrees, what is the measure of the other angle?

• 75 degrees

• 65 degrees

• 45 degrees

• 55 degrees