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

Answer: 540

Question 2: In a regular pentagon, find the measure of each interior angle.

Answer: 108

Question 3: Construct a pentagon with one interior angle of 120° and the remaining four angles equal. Show your construction on the grid.

Answer: Each of the remaining four angles = 90°

Question 4: A regular pentagon has side length 5 cm. Calculate its perimeter.

Answer: 25

Question 5: A pentagon has interior angles measuring 100°, 110°, 120°, 105°, and the remaining angle. Find the measure of the missing angle.

Answer: 105

Question 6: Plot the graph of y = 2x for x values from -3 to 3.

Answer: Students plot points at (-3,-6), (-2,-4), (-1,-2), (0,0), (1,2), (2,4), (3,6).

Question 7: Construct a pentagon with sides of lengths 4 cm, 5 cm, 4 cm, 5 cm, and 6 cm. Ensure the shape is closed and show your working.

Answer: Construct using compass and straightedge, ensuring side lengths match.

Question 8: Identify the common mistake made when calculating the interior angle sum of a pentagon and explain how to correct it.

Answer: Mistake: Using 360° instead of (n-2)×180°. Correction: Use (5-2)×180°=540°.

Question 9: A real-world building design features a pentagonal window with each interior angle measuring 108°. If the window's sides are equal in length, what is the shape of the window and what special property does it have?

Answer: It is a regular pentagon, with all sides and angles equal.

Question 10: A pentagon is irregular with sides 3 cm, 4 cm, 5 cm, 4 cm, and 3 cm. The interior angles are 100°, 120°, 100°, and two unknown angles. Find the measures of the two unknown angles.

Answer: 110° and 110°