Question 1: Calculate the missing angle when two angles at a point measure 70° and 110°.

Answer: 80

Question 2: At a point, three angles measure 45°, 60°, and an unknown angle. Find the unknown angle.

Answer: 255

Question 3: In a diagram, four angles at a point are 90°, 50°, and two unknown angles. If the sum of all angles around the point is 360°, find the two unknown angles.

Answer: {"angle1":"110","angle2":"110"}

Question 4: A student mistakenly assumes the angles are 80°, 100°, and 70° at a point. Identify and correct the mistake in their calculation.

Answer: The sum exceeds 360°, which is impossible for angles at a point. The angles do not form a valid set at a point.

Question 5: Construct a diagram where three angles at a point measure 120°, 90°, and an unknown angle. Calculate the unknown angle.

Answer: 150

Question 6: A real-world scenario: A circular table has three sectors with angles 50°, 70°, and an unknown sector. Find the size of the unknown sector.

Answer: 240

Question 7: Plot the graph of y = 2x for x-values 0 to 5 on the grid.

Answer: y-values: 0, 2, 4, 6, 8, 10

Question 8: Construct a triangle with sides measuring 5 cm, 7 cm, and an unknown side. Use the diagram to find the missing side length.

Answer: 6

Question 9: Challenge: Two angles at a point measure 130° and an unknown angle. The remaining angles sum to 360°. Find the unknown angle.

Answer: 100

Question 10: Solve for the missing angle: three angles at a point are 85°, 95°, and an unknown angle. Verify the total around the point is 360°.

Answer: 180

Question 11: Explain the common mistake made when students assume the angles at a point sum to 270° instead of 360°. How can this error be avoided?

Answer: Angles at a point always sum to 360°. To avoid this mistake, students should remember the angle sum property of a point.