Question

which statement is true about this argument? premises: if two angles form a linear pair, then they are supplementary. if two angles are supplementary, then the sum of their measures is 180°. conclusion: if two angles form a linear pair, then the sum of their measures is 180°. the argument is valid by the law of detachment the argument is valid by the law of syllogism the argument is not valid beacause the conclusion does not follow the premises the argument is not valid

Explanation:

The law of syllogism states that if \(p
ightarrow q\) and \(q
ightarrow r\), then \(p
ightarrow r\). Here, let \(p\) be "two - angles form a linear pair", \(q\) be "they are supplementary", and \(r\) be "the sum of their measures is \(180^{\circ}\)". The first premise is \(p
ightarrow q\), the second premise is \(q
ightarrow r\), and the conclusion is \(p
ightarrow r\), which follows the law of syllogism.

Answer:

The argument is valid by the law of syllogism