Exploring Angle Relationships with Parallel Lines and Transversals

What type of angles are formed when two lines intersect and create pairs of opposite angles?

• Corresponding angles

• Alternate interior angles

• Vertical angles

• Alternate exterior angles

When two parallel lines are crossed by a transversal, which angles are congruent?

• Only vertical angles

• Only corresponding angles

• Both vertical and corresponding angles

• Neither vertical nor corresponding angles

Which of the following pairs of angles are corresponding angles?

• Angles 1 and 5

• Angles 2 and 6

• Angles 3 and 7

• Angles 4 and 8

What are alternate interior angles?

• Angles on the same side of the transversal and inside the parallel lines

• Angles on opposite sides of the transversal and inside the parallel lines

• Angles on the same side of the transversal and outside the parallel lines

• Angles on opposite sides of the transversal and outside the parallel lines

Which of the following pairs of angles are alternate exterior angles?

• Angles 2 and 6

• Angles 4 and 8

• Angles 1 and 5

• Angles 3 and 7

How can you remember the difference between interior and exterior angles?

• Exterior angles are always smaller

• Interior decorators work inside a house, and exterior decorators work outside

• Interior angles are always larger

• Interior angles are on the same side of the transversal

What is the first step in using angle relationships to find missing angles?

• Determine the type of angle relationship

• Set up an equation

• Solve for x

• Check if the angles are supplementary

If two angles are vertical angles, what can be said about their measures?

• They are supplementary

• They are complementary

• They are congruent

• They are adjacent

In the equation 14x - 4 = 80, what type of angle relationship justifies this setup?

• Corresponding angles

• Alternate interior angles

• Vertical angles

• Alternate exterior angles

When solving for x in a linear pair, what should the sum of the angles be?

• 45 degrees

• 360 degrees

• 180 degrees

• 90 degrees