Question

# Use the Law of Detachment to make a valid conclusion in the true situation.

If angles form a linear pair, then they are supplementary.

∠𝐴 𝑎𝑛𝑑 ∠𝐵 form a linear pair.

Hint:

### Law of Detachment states that if p q is true and it is given that p is true then we can conclude

that q is also true. Here, the statement is termed as Hypothesis and the statement q is termed as conclusion.

## The correct answer is: Hence, we can conclude that ∠𝐴 𝑎𝑛𝑑 ∠𝐵 are supplementary angles.

### Consider the statement into two separate statements

p: Angles form a linear pair

q: The angles are supplementary angles.

So we can write the given statement “If angles form a linear pair, then they are supplementary” as:

It is given that ∠𝐴 𝑎𝑛𝑑 ∠𝐵 form a linear pair which means the p statement is true and hence we

can conclude that the q statement is also true i.e. ∠𝐴 𝑎𝑛𝑑 ∠𝐵 are supplementary angles.

Final Answer:

Hence, we can conclude that ∠𝐴 𝑎𝑛𝑑 ∠𝐵 are supplementary angles

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