Question 1: What is the measure of each exterior angle in a regular hexagon?

Answer: 60

Question 2: Calculate the sum of the exterior angles of an octagon.

Answer: 360

Question 3: In a regular polygon, each exterior angle measures 45°. How many sides does the polygon have?

Answer: 8

Question 4: A pentagon has an exterior angle of 72°. Find the sum of the other exterior angles.

Answer: 288

Question 5: Construct a triangle with exterior angles measuring 80°, 100°, and 80°. Verify the sum of these exterior angles.

Answer: 360

Question 6: A polygon has four exterior angles: 85°, 95°, 90°, and ?°. Find the missing angle.

Answer: 90

Question 7: A regular heptagon's exterior angle measures 51.43°. Is this correct? Justify your answer.

Answer: No, because 360°/7 ≈ 51.43°, which is correct.

Question 8: Explain why the sum of all exterior angles of any convex polygon always equals 360°.

Answer: Because as you turn around each vertex, the total rotation sums to a full circle of 360°, regardless of the number of sides.

Question 9: A polygon has 12 sides. If each exterior angle measures 30°, is this possible? Explain your reasoning.

Answer: No, because 360°/12 = 30°, so it is possible and the polygon is regular.

Question 10: A student calculates the sum of exterior angles of a polygon and gets 420°. Identify and correct the mistake.

Answer: The sum of exterior angles of any convex polygon should be 360°. The student likely added the angles incorrectly or included interior angles.

Question 11: Challenge: Construct a polygon with six sides where five exterior angles are 60° each. Find the sixth exterior angle and verify the sum.

Answer: The sixth exterior angle is 60°, sum = 360°.