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2-3 Parallel lines and triangle angle sums

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Presentation on theme: "2-3 Parallel lines and triangle angle sums"— Presentation transcript:

1 2-3 Parallel lines and triangle angle sums
Homework: 16-27

2 In this Chapter I can… 2-1: determine angle measurements from parallel lines cut by a transversal 2-2: use angle relationships to prove that lines are parallel 2-3: use interior and exterior angles of triangles to solve problems 2-4: calculate the slope of parallel and perpendicular lines

3 Prove the angles in a triangle add to 180
Given: AB ll DC Prove: <1+<2+<3=180° Statement Reason 1) AB ll DC 1) Given 2)<3+<4+<5=180° 2) Supplementary Angles 3) <1≅<4 3) Alt. Interior Angles 4) <2≅<5 4) Alt. Interior Angles 5) <1+<2+<3=180° 5) Substitution D C 4 5 3 1 2 A B

4 example x = 64 y = 74 z = 116 𝒛° Triangle Exterior Sum (Theorem)


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