In the figure below, ABCD is a trapezium. AF and EC are straight lines.
Peishan wrote four statements to describe the figure.
Statement A:
Statement B:
Statement C:
Statement D:
Which of the following statements are true?

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Worked solution
6
1. Evaluate Statement B
Since and are straight lines intersecting at , and are vertically opposite angles. Therefore, . Statement B is true.
2. Evaluate Statement C
In trapezium , is parallel to . Since are collinear, is parallel to . and (which is the same as ) are interior angles between parallel lines. Therefore, . Statement C is true.
3. Identify the correct option
Statements B and C are true. This corresponds to option (3).
Answer
B and C only (option 3)
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