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

Answer: 120

Question 2: Find the sum of the interior angles of an irregular hexagon when five angles measure 130°, 125°, 128°, 132°, and 127°.

Answer: 468

Question 3: Construct a regular hexagon with a side length of 5 cm. Use your grid to draw the construction accurately.

Answer: Constructed shape with sides of 5cm, angles of 120°, and symmetrical properties.

Question 4: Calculate the perimeter of a regular hexagon with each side measuring 8 cm.

Answer: 48

Question 5: Determine the area of a regular hexagon with a side length of 6 cm. Use the formula: Area = (3√3/2) × side².

Answer: 93.53

Question 6: A hexagon has one interior angle of 130°. What is the measure of its exterior angle at that vertex?

Answer: 50

Question 7: A regular hexagon is inscribed in a circle with radius 10 cm. Calculate the length of each side of the hexagon.

Answer: 17.32

Question 8: In a real-world scenario, a garden is shaped like a regular hexagon with a side of 4 meters. Calculate the total length of fencing needed to enclose it.

Answer: 24

Question 9: A hexagon's interior angles are all equal except for one which measures 125°. The other five each measure 118°. Is this a regular hexagon? Justify your answer.

Answer: No, because interior angles are not all equal.

Question 10: Calculate the missing interior angle of a hexagon if the sum of its interior angles is 720°. Two of the angles are 119° and 122°. What are the other three angles, assuming the hexagon is irregular?

Answer: 119°, 122°, 119°, 120°, 120°, 120°

Question 11: Identify and correct the mistake in the following statement: 'All hexagons have interior angles of 120° because they are regular.'

Answer: Incorrect, because only regular hexagons have interior angles of 120°, irregular ones can differ.