Syllogism

Concept:A conclusion must be necessarily true based on the given statements; otherwise, it does not follow.Explanation:Statements: P says sum of angles $=180^\circ$, Q says $\angle A = 90^\circ$.Thus, $\angle B + \angle C = 90^\circ$.The conclusion $\angle B = 45^\circ$ is only one possibility; $\angle B$ could be any angle between $0^\circ$ and $90^\circ$ (e.g., $30^\circ$ if $\angle C=60^\circ$).So the conclusion is not necessarily true; it is also not in conflict with the statements (since it is possible).Among the options, "none" best describes that the conclusion does not necessarily follow and is not contradictory.Answer:None of the given options correctly state the relationship; the conclusion is neither necessarily following nor in conflict.