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Core Connections Integrated II, 2015

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Core Connections Integrated II, 2015 View details

2. Section 8.2

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Exercise 26 Page 440

The angles labeled x sum to 360^(∘). The angles labeled y form the base angles of isosceles triangles.

x= 72^(∘)
y=54^(∘)

Practice makes perfect

Notice that the angles labeled x sum to 360^(∘).

With this information, we can write and solve an equation for x.

5x=360^(∘) ⇔ x= 72^(∘) Also notice that each of the triangles are isosceles triangles, which means their base angles are congruent.

With this information we can write and solve an equation for y. y+y+72^(∘)=180^(∘) ⇔ y=54^(∘)

Subchapter links

8.2.1 Angles of Polygons p.440-441

8.2.2 Areas of Regular Polygons p.445-448