Maths-

General

Easy

Question

# Show the conjecture is false by finding a counterexample. Two supplementary angles form a linear pair.

Hint:

### Inductive Reasoning is the process of drawing a general conclusion by observing a pattern based on the observations and this conclusion is called conjecture.

Counterexample: It is an example which shows that the conjecture is false.

## The correct answer is: Hence, the counterexample of the given conjecture i.e. “Two supplementary angles form a linear pair.” is the adjacent angles of a parallelogram.

### If we take a parallelogram

Here, we know that angles a and b are supplementary angles. But they are not linear.

So, the given conjecture is wrong.

Final Answer:

Hence, the counterexample of the given conjecture i.e. “Two supplementary angles form a linear pair.” is the adjacent angles of a parallelogram.

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