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Which statement is true about this argument? premises: if an angle measure is greater than 90°, then the angle is an obtuse angle. the measure of ∠c∠c is 102°. conclusion: ∠c∠c is an obtuse angle.

Athe argument is valid by the law of syllogism.
Bthe argument is not valid because the premises are not true.
Cthe argument is not valid because the conclusion does not follow from the premises.
Dthe argument is valid by the law of detachment.

Verified Answer :

Edufirst

Answer: option d. the argument is valid by the law of detachment.

The law of detachment consists in make a conlcusion in this way:

Premise 1) a => b
Premise 2) a is true

Conclusion: Then, b is true

Note: the order of the premises 1 and 2 does not modifiy the argument.

IN this case:

Premise 1) angle > 90 => obtuse

Premise 2) angle = 102 [i.e. it is true that angle > 90]]

Conclusion: it is true that angle is obtuse

The answer would be law of detachmnet.

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