Maths-
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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