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Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

6. Describing Pairs of Angles

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Exercise 43 Page 429

What can the measure of an obtuse angle be? What does it mean if two angles are complementary?

See solution.

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If ∠ A and ∠ C are complementary, it means that the sum of their measures is 90^(∘). m∠ A+m∠ C=90^(∘) Let's now assume that one of the angles — we will use ∠ A — is obtuse. Then its measure falls in the following range. 90^(∘)less than 0 — which is inconsistent with the definition of angles. Hence, if an angle is obtuse it cannot have a complement.

Subchapter links

Communicate Your Answer p.423

Monitoring Progress p.425-427

Exercises p.428-430