Question 1: In a concert hall, two parallel sound panels are installed. If the angle of incidence of sound waves hitting the first panel is 30°, what is the alternate angle on the other panel, assuming they form a Z-pattern?

Answer: 30

Question 2: Calculate the measure of the alternate angle when a sound wave reflects between two parallel panels with an incident angle of 45°.

Answer: 45

Question 3: Construct a pair of parallel lines on the grid. Draw a Z-pattern that includes an angle of 60°. Label the alternate angles formed.

Answer: 60

Question 4: Fluency & Practice: If the interior angle at one point is 70°, what is the measure of the alternate exterior angle, assuming the lines are parallel?

Answer: 70

Question 5: Problem Solving & Reasoning: A sound engineer positions two speakers such that their rays of sound form a Z-pattern with an angle of 50°. If the incident angle from the source to the first speaker is 50°, what is the angle of reflection at the second speaker?

Answer: 50

Question 6: Real-world Application: In a music studio, two parallel reflective surfaces create sound paths forming a Z-pattern. If the angle at which sound hits the first surface is 40°, what is the alternate angle on the other side?

Answer: 40

Question 7: Challenge & Extension: A sound wave strikes two parallel panels, forming a 75° angle. Draw the Z-pattern and determine the measure of the alternate angle.

Answer: 75

Question 8: Mixed Review: On the grid, draw two parallel lines and sketch a Z-pattern with an interior angle of 55°. Label all angles, including alternate angles.

Answer: 55

Question 9: Error Analysis: A student claims that the alternate exterior angles formed in a Z-pattern are always supplementary. Explain whether this is correct and justify your answer.

Answer: This is incorrect because alternate exterior angles are equal in measure for parallel lines, not supplementary.

Question 10: Construct a Z-pattern with two parallel lines and an angle of 65°. Identify and label the alternate angles.

Answer: 65