Question 1: In a pair of intersecting lines, one angle measures 65°. Calculate the measure of the vertically opposite angle.

Answer: 65

Question 2: If two vertically opposite angles are both 120°, what is the measure of each angle?

Answer: 120

Question 3: Construct two intersecting lines such that one of the vertically opposite angles is 45°. Use the grid to draw the lines and label the angles.

Answer: Construct lines intersecting at 45°, forming angles of 45° and 135°.

Question 4: A pair of lines intersect, forming one angle of 70°. Find the size of the vertically opposite angle.

Answer: 70

Question 5: In a diagram, two intersecting lines form an angle of 85°. What is the measure of the vertically opposite angle? Explain your reasoning.

Answer: 85; vertically opposite angles are equal.

Question 6: Two angles are vertically opposite and one measures 130°. Find the measure of the other angle.

Answer: 130

Question 7: Calculate the value of an angle if it is vertically opposite to an angle measuring (180 - x)°, and the total of the two angles is 180°. Show your working.

Answer: x

Question 8: A line intersects two parallel lines, forming an angle of 55°. Find the measure of the vertically opposite angle in the adjacent intersection.

Answer: 55

Question 9: A diagram shows two intersecting lines with one angle labeled 40°. Using the grid, construct the lines and find the measure of the vertically opposite angle.

Answer: 40

Question 10: In a real-world scenario, two roads intersect, forming an angle of 75°. What is the measurement of the vertically opposite angle? Provide a brief explanation.

Answer: 75; vertically opposite angles are equal.

Question 11: Identify and correct the mistake in the following statement: 'When two lines intersect, the angles adjacent to each other are equal.'

Answer: Adjacent angles are supplementary, not equal.