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

Answer: 45

Question 2: A regular polygon has an exterior angle of 20°. How many sides does it have?

Answer: 18

Question 3: Calculate the sum of all exterior angles in any polygon.

Answer: 360

Question 4: A regular decagon has an exterior angle of x°. Find x.

Answer: 36

Question 5: Construct a triangle with sides of lengths 5cm, 7cm, and 9cm. Calculate the exterior angle at the vertex opposite the 5cm side.

Answer: approx. 60

Question 6: In a regular polygon, each exterior angle measures 24°. How many sides does the polygon have?

Answer: 15

Question 7: Word Problem: A cyclist completes a 120° turn at the intersection of two roads. Is this turn a exterior angle of a regular polygon? Explain your reasoning.

Answer: No, because exterior angles of regular polygons are all equal and sum to 360°, making the turn's measure unlikely unless it matches that pattern.

Question 8: Identify and correct the mistake: A student states that the sum of exterior angles in any polygon is equal to the sum of interior angles.

Answer: The correct statement is that the sum of exterior angles is always 360°, regardless of interior angles.

Question 9: A regular hendecagon (11-sided polygon) has an exterior angle of x°. Calculate x.

Answer: 32.73

Question 10: Challenge: Determine the number of sides of a polygon if each exterior angle measures 15°.

Answer: 24

Question 11: Error Analysis: A student calculates an exterior angle of 30° for a hexagon and concludes it is regular. Identify the mistake and correct it.

Answer: The mistake is assuming the exterior angle of a regular hexagon is 30°, but it should be 360°/6=60°. The student's calculation is incorrect.