Exploring Parallel Lines and Transversals

What is the measure of angles formed by a linear pair?

• 90 degrees

• 180 degrees

• 45 degrees

• 360 degrees

If angle one is 108 degrees, what is the measure of its vertical angle?

• 90 degrees

• 180 degrees

• 72 degrees

• 108 degrees

What is the result when solving the equation 18x - 6 = 17x + 1?

• x = 5

• x = 8

• x = 7

• x = 6

What type of angles sum up to 180 degrees?

• Corresponding angles

• Same side interior angles

• Vertical angles

• Alternate interior angles

If angle Y forms a linear pair with an angle measuring 120 degrees, what is the measure of angle Y?

• 30 degrees

• 120 degrees

• 90 degrees

• 60 degrees

In a configuration with three parallel lines cut by a transversal, how many angles need to be known to find the measures of all others?

• Three

• Two

• One

• Four

What is the measure of an angle that is vertical to an angle measuring 133 degrees?

• 47 degrees

• 133 degrees

• 43 degrees

• 90 degrees

When solving for variables in angle equations, what is a crucial step to verify your solution?

• Divide the variable by the coefficient

• Add 180 to the variable

• Multiply the variable by 2

• Substitute the variable back into the original equation

What is the measure of angle Z if it forms a linear pair with an angle measuring 75 degrees and another angle measuring 90 degrees?

• 105 degrees

• 75 degrees

• 90 degrees

• 15 degrees

How can angles be manipulated to find a relationship when it's not immediately apparent?

• By moving them closer if they are congruent

• By subtracting them from 180

• By adding them together

• By dividing them by 2