Question

Martin is able to use logical reasoning to prove the statement "in any triangle ,the sum of the measures of any two angles is less than the sum of the measures of two right angles." which of the following best describes the statement? Postulate, Axion, Defenition, or theorem ?

Answer 1

Theorem.

Explanation:

Postulate/Axiom: Can't be proven or disproven.

Definition: Defines a term. Can be proven.

Theorem: Can be proven.

"Proof" (informal but it works): Triangle has 180°, that means two angles will be less than 180°. Right angles are 90°, that means two 90° angles add up to 180°. Something that is less than 180° is less than 180°.

This statement is provable, but doesn't necessarily define anything.