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.

a. the argument is valid by the law of syllogism.

b. the argument is not valid because the premises are not true.

c. the argument is not valid because the conclusion does not follow from the premises.

d. the argument is valid by the law of detachment.

Question

Mathematics

Trystan

5 December, 17:23

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.

a. the argument is valid by the law of syllogism.

b. the argument is not valid because the premises are not true.

c. the argument is not valid because the conclusion does not follow from the premises.

d. the argument is valid by the law of detachment.

+1

Answers (1)

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Marin Blevins · Answer 1

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