Lesson 12.2 Angles and Parallel Lines Essential Question: How do you find the measures of angles cut by a transversal?
Before we start… Find the measures of the numbered angles.
What are parallel lines? Two lines in the same plane that do not intersect
What is a transversal? A line that intersects two or more lines at different points
What are corresponding angles? Two angles that occupy corresponding positions
What are alternate interior angles? Two angles that lie between the two lines on opposite sides of the transversal
What are alternate exterior angles? Two angles that lie outside of the two lines on opposite sides of the transversal
In the diagram of the John Hancock Center in Chicago, line t is a transversal. Identify the corresponding angles, alternate interior angles and alternate exterior angles.
Angles and Parallel Lines
In the diagram, transversal t intersects parallel lines m and n In the diagram, transversal t intersects parallel lines m and n. If 𝑚∠1=75°, find the measures of the other numbered angles.
Use the diagram to find the angle measure.
Use the diagram to find the angle measure.
Use the diagram to find the angle measure.
Use the diagram to find the angle measure.
Use the diagram to find the angle measure.
Use the diagram to find the angle measure.
Use the diagram to find the angle measure.
Use the diagram to find the angle measure.
Use the diagram to find the angle measure.
Use the diagram to find the angle measure.
How do you find the measures of angles cut by a transversal How do you find the measures of angles cut by a transversal? Use the information given. - Corresponding angles are equal measures - Alternate interior angles are equal - Alternate exterior angles are equal
Ticket Out the Door Find 𝑚∠4