A student makes the following statement:
"If two angles are vertically opposite, then they are supplementary."
a. (i) Is the student’s statement true or false? Give a logical reason for your answer.
b. (ii) Rewrite the correct relationship that holds between a pair of vertically opposite angles.
c. (iii) Provide an example (with a brief explanation) of a pair of angles that are supplementary but not vertically opposite.