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Core Connections Integrated II, 2015

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Core Connections Integrated II, 2015 View details

2. Section 10.2

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Exercise 101 Page 584

Angles in a quadrilateral always add up to 360^(∘).

x ≈ 25.71^(∘)

Practice makes perfect

Angles in a quadrilateral always add up to 360^(∘). This allows us to write an equation for x using the given angles. 2x+3x+4x+5x = 360^(∘) Let's solve it!

2x+3x+4x+5x = 360^(∘)

Add terms

14x = 360^(∘)

.LHS /14.=.RHS /14.

x = 25.7142857143... ^(∘)

Round to 2 decimal place(s)

x ≈ 25.71^(∘)

Subchapter links

10.2.1 Introduction to Chords p.565-567

10.2.2 Angles and Arcs p.571-573

10.2.3 Chords and Angles p.577-578

10.2.4 Tangent Lines p.583-584

10.2.5 Tangents and Arcs p.588-589