Question 1: Construct a triangle where angle A = 50°, angle B = 60°, and side AB = 5 cm. Use the grid to draw and verify the triangle.

Answer: Triangle constructed with side AB = 5cm, angles 50° and 60° at A and B respectively.

Question 2: Calculate the length of side AC in a triangle where angle A = 45°, angle C = 75°, and side BC = 8 cm.

Answer: Approximately 6.2 cm

Question 3: A builder needs to construct a triangular support with angles 40° and 70°. The included side is 10 m. Draw the triangle using the grid.

Answer: Triangle with angles 40°, 70° and included side 10 m constructed accurately.

Question 4: Construct a triangle with angles 35° and 55°, and side length 6 cm between these angles. Show your steps.

Answer: Triangle drawn with specified angles and side, following ASA construction method.

Question 5: In a triangle, two angles measure 65° and 75°. The included side between these angles is 7.5 cm. Calculate the remaining side lengths using the Law of Sines.

Answer: Remaining sides approximately 6.3 cm and 9.1 cm

Question 6: A construction worker requires a triangular brace with angles 30° and 80°, and side length 4 m at the base. Draw the triangle and explain your steps.

Answer: Triangle with the specified angles and side constructed; explanation involves using the ASA rule and accurate measurements.

Question 7: Determine the third angle in a triangle where two angles are 50° and 70° and the included side is 5 cm. Show the reasoning.

Answer: Third angle = 60°

Question 8: Construct a triangle with angles 40° and 60°, with the included side measuring 7 cm. Use the grid to draw and verify.

Answer: Triangle constructed with given angles and side, following ASA rules.

Question 9: A bridge component requires a triangle with two angles measuring 55° and 75°, and the included side of 12 m. Calculate the remaining sides and sketch the triangle.

Answer: Remaining sides approximately 8.8 m and 17.1 m; triangle accurately drawn based on calculations.

Question 10: Identify and correct the mistake in the following construction: a triangle with angles 40°, 60° was drawn with side 5 cm between the angles, but the angles don't sum to 180°.

Answer: Mistake is in the angles' sum; they sum to 100°, which is incorrect. Correct angles should sum to 180°.

Question 11: Given two angles of a triangle are 60° and 80°, and the included side is 9 cm, construct the triangle and verify the angles.

Answer: Triangle constructed with angles 60°, 80°, and 40°, and side 9 cm, verified with a protractor and measurements.