Solve the Problem Using the Elimination Method

question 10

Multiple Choice

Solve the problem using the elimination method.
-Two angles are supplementary, and one is 40° more than three times the other. Find the smaller angle.

• A) 145°
• B) 105°
• C) 75°
• D) 35°

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Definitions:

Minor Premise

The second proposition in a syllogism, from which along with the major premise the conclusion is derived.

Categorical Syllogism

A logical argument that derives a conclusion from two statements, asserting or denying something about a category.

Mood

In logic, the structure of a categorical syllogism based on the type of categorical propositions it contains (e.g., AAA, EAE).

Figure

A numerical symbol, especially one that represents a statistic or part of a calculation.