Question 1: Calculate the measure of each exterior angle in a regular hexagon.

Answer: 60

Question 2: A polygon has 10 sides. What is the measure of each exterior angle if the polygon is regular?

Answer: 36

Question 3: Find the exterior angle of a regular octagon.

Answer: 45

Question 4: In a polygon, if one interior angle is 110°, what is the corresponding exterior angle?

Answer: 70

Question 5: A pentagon has an exterior angle of 72°. Is this polygon regular? Explain your reasoning.

Answer: Yes, because 72° is equal to the measure of each exterior angle in a regular pentagon (since 360°/5=72°).

Question 6: Construct a triangle where each exterior angle measures 120°. Is this possible? Explain your reasoning.

Answer: No, because the sum of exterior angles in any polygon must be 360°, and three angles of 120° each sum to exactly 360°, which is possible, but the interior angles would be 60°, 60°, 60°, making it an equilateral triangle.

Question 7: Calculate the exterior angles of a regular decagon.

Answer: 36

Question 8: A polygon has 12 sides. What is the measure of each exterior angle? Show your work.

Answer: 30

Question 9: An irregular polygon has exterior angles measuring 50°, 70°, 80°, and 160°. Find the measure of the fifth exterior angle.

Answer: 50

Question 10: Identify and correct the mistake: A student states that in any polygon, the sum of exterior angles is 540°.

Answer: The correct sum of exterior angles in any polygon is 360°, not 540°. The mistake is in the total sum.

Question 11: Plot the graph of y=2x for x values from -5 to 5. Use the grid to draw the line accurately.

Answer: Students will draw the line passing through points (-5,-10), (0,0), and (5,10).