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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