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Core Connections Integrated II, 2015

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Core Connections Integrated II, 2015 View details

2. Section 6.2

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Exercise 66 Page 344

If the angles are equal, we can equate their expressions.

x=11^(∘)
m∠ ABC=114^(∘)

Practice makes perfect

Since ∠ ABC is divided into two equal parts, we can equate the angle measures of ∠ ABD and ∠ CBD.

Let's solve this equation for x.

3x+24^(∘)=5x+2^(∘)

LHS-2^(∘)=RHS-2^(∘)

3x+22^(∘)=5x

LHS-3x=RHS-3x

22^(∘)=2x

.LHS /2.=.RHS /2.

11^(∘)=x

Rearrange equation

x=11^(∘)

Having found that x= 11^(∘), we can calculate one of the angles and then multiply the result by 2 to get the measure of ∠ ABC. m∠ ABC: 2(5( 11^(∘))+2^(∘))=114^(∘)

Subchapter links

6.2.1 At Your Service p.340

6.2.2 Angles on a Pool Table p.343-344

6.2.3 Shortest Distance Problems p.347-348

6.2.4 The Number System and Deriving the Quadratic Formula p.353

6.2.5 The Number System and Deriving the Quadratic Formula p.355-356

6.2.6 Analyzing a Game p.359-360