Question 1: Calculate the sum of interior angles of a pentagon in degrees.

Answer: 540

Question 2: Determine the measure of each interior angle in a regular pentagon.

Answer: 108

Question 3: Construct a pentagon on the grid with sides measuring 4 units each. Label the sides.

Answer: Constructed pentagon with 4-unit sides.

Question 4: If a pentagon has one interior angle measuring 120°, what is the sum of the other four interior angles?

Answer: 420

Question 5: Plot the graph of y = 2x for x from 0 to 5 on the grid.

Answer: Students plot points (0,0), (1,2), (2,4), (3,6), (4,8), (5,10).

Question 6: A gaming app uses a pentagonal icon. Each side of the icon measures 3 cm. If the icon is scaled up by a factor of 2, what will be the new length of each side?

Answer: 6

Question 7: In a virtual game, a pentagonal platform has interior angles of 110°, 110°, 100°, 110°, and an unknown angle. Find the measure of the unknown angle.

Answer: 50

Question 8: A digital design features a regular pentagon with side length 5 units. Calculate its perimeter.

Answer: 25

Question 9: Identify and correct the mistake in this statement: 'All interior angles of a pentagon are equal.'

Answer: Only regular pentagons have equal interior angles; irregular pentagons may have different angles.

Question 10: A game design requires a pentagonal shape with certain angles for symmetry. The five interior angles are 108°, 108°, 112°, 112°, and an unknown angle. Find the measure of the unknown angle.

Answer: 50

Question 11: A pentagon-shaped gaming console controller has a width of 10 cm and height of 15 cm. If the design requires the angles at the top corners to be 90°, what is the total interior angle sum, and how can this influence the placement of buttons?

Answer: Sum of interior angles is 540°, which affects button placement for ergonomic design based on angles.