Question

Prove: If two angles are supplementary, they also form a linear pair.

Answer 1

Based on the definition of supplementary angles and linear pair, a counterexample to the statement is: option B.

What are Supplementary Angles?

If two angles add up to give 180 degrees, they are regarded as supplementary angles.

What is a Linear Pair?

A linear pair is two adjacent angles that share a common side on a straight line, and have a sum of 180 degrees. Linear pair angles are supplementary angles.

In the image given, figure D is a perfect example of a linear pair that are supplementary.

However, in figure B, we have two angles that are not adjacent angles on a straight line but are supplementary angles.

Therefore, a counterexample to the statement is: option B.

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