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