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Core Connections Integrated II, 2015

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Core Connections Integrated II, 2015 View details

2. Section 7.2

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Exercise 116 Page 417

Consider the Exterior Angles Theorem.

D

Practice makes perfect

Examining the diagram, we notice that ∠ ABD is exterior angle to ∠ ABC. Using the Exterior Angles Theorem, we know that the measure of ∠ ABD equals the sum of the triangle's non-adjacent angles.

∠ ABD=∠ A+∠ C

∠ A= 74^(∘), ∠ C= 79^(∘)

∠ ABD= 74^(∘)+ 79^(∘)

Add terms

∠ ABD=153^(∘)

Therefore, D is the correct option.

Subchapter links

7.2.1 Conditional Probability and Independence p.401-402

7.2.2 More Conditional Probability p.406-409

7.2.3 Applications of Probability p.415-417