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Big Ideas Math Integrated I, 2016 View details

2. Inductive and Deductive Reasoning

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Exercise 15 Page 456

What angle would be supplementary to a 90^(∘) angle?

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We want to find a counterexample that proves the given conjecture false. Supplementary angles sum to 180^(∘), and an acute angle is between 0^(∘) and 90^(∘). But what if the two angles are both 90^(∘)?

Such angles are supplementary, as they sum to 180^(∘). Also, both of them are right angles and therefore not acute. We have found our counterexample.

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Communicate Your Answer p.451

Monitoring Progress p.452-455

Exercises p.456-458

Exercise 15 Page 456

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