Angle Relationships and Properties

This video tutorial covers solving for unknown angles using equations, focusing on complementary, vertical, and supplementary angles. It includes multiple examples demonstrating how to set up and solve equations for unknown angles, using both numerical and visual methods. The tutorial also emphasizes the importance of understanding angle relationships and provides exercises for practice.

What is the sum of complementary angles?

• 360 degrees

• 45 degrees

• 90 degrees

• 180 degrees

If one angle is 4 times the other in a complementary pair, what is the measure of the smaller angle?

• 18 degrees

• 22.5 degrees

• 72 degrees

• 36 degrees

What is the sum of vertical angles?

• They are equal

• 360 degrees

• 90 degrees

• 180 degrees

In a vertical angle setup, if one angle is 2x and the other is 6x, what is the value of x if the total is 170 degrees?

• 10

• 15

• 20

• 25

How do you solve for x in the equation 3x = x + 64?

• Divide both sides by 3

• Multiply both sides by 2

• Add x to both sides

• Subtract x from both sides

What is the sum of supplementary angles?

• 90 degrees

• 180 degrees

• 270 degrees

• 360 degrees

If an angle is 2/3 of its supplement, what is the measure of the angle?

• 60 degrees

• 72 degrees

• 90 degrees

• 108 degrees

In a complementary angle problem, if one angle is 1/4 of the other, what is the measure of the smaller angle?

• 30 degrees

• 22.5 degrees

• 18 degrees

• 15 degrees

What is the measure of an angle if it is 61 degrees less than its supplementary angle?

• 119 degrees

• 61 degrees

• 59 degrees

• 121 degrees

In a problem involving a 90-degree angle and a missing angle, what is the measure of the missing angle if the total is 180 degrees?

• 90 degrees

• 119 degrees

• 29 degrees

• 61 degrees