Exploring Parallel Lines and Transversals

What is the main focus of today's lesson?

• Solving problems involving parallel lines and angles

• Learning about perpendicular lines

• Studying the properties of triangles

• Naming different types of angles

Which of the following is NOT a type of congruent angle?

• Vertical angles

• Alternate interior angles

• Consecutive exterior angles

• Corresponding angles

What do supplementary angles add up to?

• 360 degrees

• 180 degrees

• 90 degrees

• 45 degrees

In the first example problem, what type of angles are 2x + 39 and 4x - 55?

• Vertical angles

• Alternate interior angles

• Corresponding angles

• Consecutive exterior angles

What is the value of x in the first example problem?

• 39

• 47

• 94

• 55

In the second example problem, what type of angles are 3y + 14 and 6y - 19?

• Consecutive exterior angles

• Corresponding angles

• Alternate interior angles

• Vertical angles

What is the value of y in the second example problem?

• 14

• 19

• 11

• 33

In the third example problem, what type of angles are 6x + 27 and 3x?

• Corresponding angles

• Consecutive exterior angles

• Alternate interior angles

• Vertical angles

What is the value of x in the third example problem?

• 153

• 17

• 63

• 27

What are the three steps to solve problems involving parallel lines and angles?

• Draw the diagram, identify the angle, solve for x

• Identify the angle, draw the diagram, write and solve the equation

• Identify the angle, determine if congruent or supplementary, write and solve the equation

• Determine if congruent or supplementary, write the equation, solve for x