Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

which statement is true about this argument? premises: if a triangle ha…

Question

which statement is true about this argument? premises: if a triangle has an angle that measures 150°, then it is an obtuse triangle. △jkl is an obtuse triangle. conclusion: △jkl has an angle that measures 150°. the argument is valid by the law of syllogism. the argument is not valid because the premises are not true. the argument is valid by the law of detachment. the argument is not valid because the conclusion does not follow from the premises.

Explanation:

Brief Explanations

The first premise states a conditional relationship between a triangle having a 150 - degree angle and being an obtuse triangle. Just because △JKL is an obtuse triangle (second premise), it doesn't necessarily mean it has a 150 - degree angle as an obtuse triangle can have any angle between 90 and 180 degrees. The conclusion does not logically follow from the premises.

Answer:

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