Question

use the law of syllogism to determine a valid conclusion from the set of statements, if possible. select valid
conclusion or no valid conclusion and explain your reasoning.

if the measure of an angle is between 90° and 180°, then it is obtuse.
if an angle is obtuse, then it is not acute.

Explanation:

The Law of Syllogism states that if \(p
ightarrow q\) and \(q
ightarrow r\), then \(p
ightarrow r\). Let \(p\) be "the measure of an angle is between \(90^{\circ}\) and \(180^{\circ}\)", \(q\) be "it is obtuse", and \(r\) be "it is not acute". We have \(p
ightarrow q\) and \(q
ightarrow r\).

Answer:

Valid conclusion: If the measure of an angle is between \(90^{\circ}\) and \(180^{\circ}\), then it is not acute.