Angles formed by parallel lines - White Plains Public ...€¦ · Theorem #1: Alternate Interior...
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SWBAT: Find Angle Measures formed by Parallel Lines Angles formed by parallel lines
Transcript of Angles formed by parallel lines - White Plains Public ...€¦ · Theorem #1: Alternate Interior...
SWBAT: Find Angle Measures formed by Parallel Lines
Angles formed by parallel lines
SWBAT: Find Angle Measures formed by Parallel Lines
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SWBAT: Find Angle Measures formed by Parallel Lines
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SWBAT: Find Angle Measures formed by Parallel Lines
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SWBAT: Find Angle Measures formed by Parallel Lines
𝒄 ⊥ 𝒃
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SWBAT: Find Angle Measures formed by Parallel Lines
𝒂 ∥ 𝒄
𝒂 ∥ 𝒃
𝒃 ∥ 𝒄
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SWBAT: Find Angle Measures formed by Parallel Lines
and FIND X.
5x = 4x + 22
x = 22 4x + 22
4(22) + 22
110˚
88 + 22
5x
5(22)
110˚
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SWBAT: Find Angle Measures formed by Parallel Lines
3x+5 = 2x+10
x+5 = 10
x = 5
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SWBAT: Find Angle Measures formed by Parallel Lines
5x+5y=60 5x+5y=60 5y=60-5x y=12-x
5x+5y=60 5(7)+5y=60 35+5y=60
5y=25
y=5
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SWBAT: Find Angle Measures formed by Parallel Lines
100ᵒ
40ᵒ
80ᵒ
∡𝟏 = 𝟖𝟎° + 𝟒𝟎°=120ᵒ
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SWBAT: Find Angle Measures formed by Parallel Lines
1 2 ∥ ∥ x
Given
∡1≅ ∡𝟐 Alt Interior Angle Thrm.
𝑩𝑪 ≅ 𝑩𝑪 Reflexive
𝑨𝑪 ≅ 𝑩𝑫 Addition (1,3)
𝚫𝑨𝑭𝑪 ≅ 𝚫𝑫𝑬𝑩 SAS (1,2,4)
∡F≅ ∡𝑬 CPCTC
(S)
(S)
(A)
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SWBAT: Find Angle Measures formed by Parallel Lines
1 2 ∥ ∥ x
