Solving for Missing Angles in Vertical Angles

The video tutorial explains how to solve for a missing angle using the concept of vertical angles, which are congruent. It demonstrates setting up equations to find the value of x and then using this value to calculate the missing angle. Two examples are provided to illustrate the process, emphasizing the importance of checking the reasonableness of answers.

What is the key property of vertical angles?

• They are always acute.

• They are always obtuse.

• They are congruent.

• They are complementary.

In the first example, what equation is set up to solve for x?

• 6x - 48 = 0

• x + 6 = 48

• 6x = 48

• x / 6 = 48

How do you solve for x in the equation 6x = 48?

• Subtract 6 from both sides.

• Divide both sides by 6.

• Multiply both sides by 6.

• Add 6 to both sides.

What is the value of x in the first example?

• 6

• 7

• 8

• 9

What is the missing angle in the first example if 6x = 48?

• 36 degrees

• 42 degrees

• 48 degrees

• 54 degrees

In the second example, what equation is set up to solve for x?

• 3x = 99

• x + 3 = 99

• 3x - 99 = 0

• x / 3 = 99

How do you solve for x in the equation 3x = 99?

• Subtract 3 from both sides.

• Add 3 to both sides.

• Divide both sides by 3.

• Multiply both sides by 3.

What is the value of x in the second example?

• 32

• 33

• 30

• 31

What is the missing angle in the second example if 3x = 99?

• 102 degrees

• 90 degrees

• 96 degrees

• 99 degrees