Exploring Adding and Subtracting Rational Expressions

This video tutorial covers angle relationships in algebra, focusing on vertical, complementary, and supplementary angles. It includes solving equations to find missing angle measures and provides practice problems for students to apply their knowledge. The tutorial emphasizes understanding angle vocabulary and solving techniques, with sections dedicated to each type of angle relationship.

What property do vertical angles have?

• They are always obtuse angles.

• They add up to 180 degrees.

• They are congruent to each other.

• They are always acute angles.

What is the sum of complementary angles?

• 180 degrees

• 90 degrees

• 360 degrees

• 45 degrees

How do you solve for a variable in a complementary angle equation?

• Divide the angles by 2

• Multiply the angles

• Add the angles and set equal to 90

• Subtract from 180

What is the sum of supplementary angles?

• 270 degrees

• 360 degrees

• 180 degrees

• 90 degrees

How do you find the value of an unknown variable in a supplementary angle equation?

• Set the equation equal to 180 and solve

• Set the equation equal to 90 and solve

• Multiply the angles

• Divide the angles by 2

What type of angles add up to make a straight angle?

• Acute angles

• Supplementary angles

• Vertical angles

• Complementary angles

When solving for angle measures, what is the first step after identifying the angle type?

• Combine like terms

• Identify the given variables

• Subtract the smallest angle from the largest

• Set the equation equal to 180

In a problem involving complementary angles, if one angle is given, how do you find the measure of the other angle?

• Multiply the given angle by 2

• Subtract the given angle from 180

• Subtract the given angle from 90

• Add 90 to the given angle

What does it mean if two angles are supplementary?

• They are equal to each other.

• They are both acute angles.

• They add up to 90 degrees.

• They add up to 180 degrees.

How can you verify your solution in an angle relationship problem?

• By subtracting the angles from 360

• By checking if the angles are congruent

• By adding the angles to see if they match the expected sum

• By dividing one angle by the other