Question

Given: If two angles in a triangle are 40 degrees and 30 degrees, then the third angle measures 110 degrees.

Given: If a triangle has an angle that measures 110 degrees, then it is an obtuse triangle.
Conclusion: If two angles in a triangle are 40 degrees and 30 degrees, then it is an obtuse angle.

Is this argument valid or invalid according to the Law of Detachment or Law of Syllogism?

A. Valid
B. Invalid

Answer 1

The argument presented in this question is invalid according to the Law of Syllogism, as it does not follow the correct form of the law.

Step-by-step explanation:

The argument presented in this question is invalid according to the Law of Syllogism. The Law of Syllogism states that if the form of an argument is valid, then any specific instance of that form is also valid. In this case, the argument does not follow the correct form of the Law of Syllogism, which undermines its validity. Here's why:

1. Premise 1: If two angles in a triangle are 40 degrees and 30 degrees, then the third angle measures 110 degrees. (Given)
2. Premise 2: If a triangle has an angle that measures 110 degrees, then it is an obtuse triangle. (Given)
3. Conclusion: If two angles in a triangle are 40 degrees and 30 degrees, then it is an obtuse angle.

In order for the conclusion to be valid, it must follow the format of the Law of Syllogism. The correct form of the Law of Syllogism would be:

• Premise 1: If ________, then ________. (Given)
• Premise 2: If ________, then ________. (Given)
• Conclusion: If ________, then ________.

As you can see, the argument provided does not follow this form, making it invalid.