Use the premises and conclusion to answer the questions.
Premises:
If an angle measure is less than 90°, then the angle is an acute angle.
The measure of angle ∠B∠B is 48°.
Conclusion:
∠B is an acute angle.

Is the argument valid? Why or why not?

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

Question

Use the premises and conclusion to answer the questions.
Premises:
If an angle measure is less than 90°, then the angle is an acute angle.
The measure of angle  ∠B∠B  is 48°.
Conclusion:
∠B  is an acute angle.

Is the argument valid?  Why or why not?

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

♥ashley♥ · Answer

I think its D.

bishoppatton · Answer

The answer has to be D.

bishoppatton · Answer

none of the others make any sense by laws of geometry itself

dustin_whitelock · Answer

The answer is valid but I have not heard of syllogism or detachment law.

♥ashley♥ · Answer

Thanks

bishoppatton · Answer

in geometry, the law of detachment is a form of deductive reasoning in which two premises in relation to the same subject are examined to come to a reasonable conclusion. This law considers a hypothesis made with regard to a statement and uses deductive reasoning to find a true answer. Np Ashley