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General

Easy

Question

# Show the conjecture is false by finding a counterexample.

Two adjacent angles always form a linear pair

## The correct answer is: the given conjecture is false

### We have given the statement

Two adjacent angles always form a linear pair.

We have to prove the statement is false.

The linear pair of angles is a pair of angles which is created by the intersection of two straight lines and the sum of a linear pair of angles is 180°.

Now, if we take an angle which is less than 180° and bisect that angle with the help of a straight line, then we will get two adjacent angles. And, the sum of those two adjacent angles isn't 180°.

In this way, we can come to a conclusion that every pair of adjacent angles will be not considered as the linear pair of angles.

So, the given conjecture is false.

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