Question 1: In a diagram with two parallel lines cut by a transversal, if one co-interior angle measures 65°, find the measure of the other co-interior angle. Show your working.

Answer: 115

Question 2: Construct a diagram on the grid where a transversal crosses two parallel lines, forming a C-pattern with co-interior angles of 120° and x°. Calculate x.

Answer: 60

Question 3: A road sign shows two parallel lines with a transversal at an angle. If one co-interior angle is 85°, what is the measure of the alternate interior angle? Explain your reasoning.

Answer: 85

Question 4: Identify the common mistake students make when calculating co-interior angles in the C-pattern and explain how to avoid it.

Answer: Confusing co-interior angles with alternate angles; they are supplementary on the same side of the transversal.

Question 5: In a diagram, the two co-interior angles are 70° and some unknown angle y. Find y. Show your working.

Answer: 110

Question 6: A city map shows two parallel roads crossed by a transversal. If the co-interior angles are 55° and x°, what is the value of x?

Answer: 125

Question 7: Plot a diagram on the grid where a transversal crosses two parallel lines, forming a C-pattern with one co-interior angle of 130°. Calculate the other co-interior angle.

Answer: 50

Question 8: A construction involves drawing two parallel lines and a transversal such that the co-interior angles are 100°. If one of these angles is extended by 10°, what is the new measure of the angle?

Answer: 110

Question 9: Challenge: In a complex diagram with multiple transversals crossing parallel lines, identify all pairs of co-interior angles forming a C-pattern and calculate their measures.

Answer: Depends on diagram; explanation required.

Question 10: A common error when working with C-patterns is assuming co-interior angles are equal without considering the transversal's position. Correct this misconception.

Answer: Co-interior angles are supplementary if on the same side of the transversal; they are equal only in certain cases like when angles are vertically opposite.

Question 11: Given two parallel lines cut by a transversal, with one co-interior angle measuring 75°, construct a diagram showing the C-pattern and find the measure of the other co-interior angle.

Answer: 105