Angles Between Two Lines and a Transversal - Lesson+Exploration+Practice
Answer the following questions...
Two parallel lines are cut by a transversal. An alternate interior angle of a pair measures 45°. What is the measure of the other alternate interior angle of the pair?
Two parallel lines are cut by a transversal. One of the two corresponding angles of a pair measures 59°. What is the measure of the other corresponding angle of the pair?
Two parallel lines are cut by a transversal. One of the two alternate exterior angles of a pair measures 63°. What is the measure of the other corresponding angle of the pair?
Two parallel lines are cut by a transversal. One of the two same side interior angles of a pair measures 117°. What is the measure of the other same side interior angle of the pair?
Two parallel lines are cut by a transversal. One of the two same side exterior angles of a pair measures 141°. What is the measure of the other same side exterior angle of the pair?
Summarize...
Give a quick summary of how these angles relate to each other. What do you notice about the angle measurements? Why do you think this happens? What would happen if the lines were not parallel?
Two parallel lines are cut by a transversal, and form a pair of same-side interior angles, and . We know that . What are the measures of and respectively?
Use this image to help you answer the questions below
If angle 1= 55 degrees, answer the following questions ...
What is the measurement of angle 2? ( angle 2 = ...)
What is the measurement of angle 3?
What is the measurement of angle 5?
What is the measurement of angle 6?
What is the measurement of angle 8?
From the activity above ...
Describe how these angles change as you drag Point D from side to side. Include keywords.