Which statement is true about this argument? Premises: If a triangle is an isosceles triangle, then it has two sides of equal length. If a triangle has two sides of equal length, then it has two angles of equal measure. Conclusion: If a triangle is an isosceles triangle, then it has two angles of equal measure. The argument is valid by the law of syllogism. The argument is not valid because the conclusion does not follow from the premises. The argument is not valid because the premises are not true. The argument is valid by the law of detachment.

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Solution

Premises: If a triangle is an isosceles triangle, then it has two sides of equal length. If a triangle has two sides of equal length, then it has two angles of equal measure.

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

Syllogism is valid argument form of deductive reasoning.

For example, if a =b and b = c, then a = c is true.

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Answer:

The argument is valid by the law of syllogism.

Step-by-step explanation:

Syllogism is a model of reasoning based on the idea of ​​deduction, composed of two premises that generate a conclusion.

The syllogism is mediated due to the need to use reasoning to reach the real conclusion. It would be deductive from departing from universal prepositions to arrive at a specific conclusion. And finally, it would be necessary to establish a connection between all the premises. In this case, the conclusion of the premise set out in the question is correct because it used two correct prepositions about the isosceles triangle to create a concrete and accurate conclusion.

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