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Classifying Triangles Review!
1/5: Apply the triangle sum theorem & exterior angle theorem to solve for missing angle measures. Do Now: Have Out: - Today’s Handouts - Your Thinking Caps! Classifying Triangles Review! Agenda: Do Now! & Check Guided Notes Independent Practice Closing & Exit Ticket Homework Worksheet (12 problems) 1st Period
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Apply the triangle sum theorem & exterior angle theorem to solve for missing angle measures.
When you finish Do Now: Flip Over Write down objective Complete warm-up
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145⁰ E 58⁰ 87⁰ 35⁰ m∠DFE = 35 ⁰ ∠DEF = 180 m∠DEF = 87 ⁰ 145⁰ 145⁰ When you add the two non-adjacent interior angles together, you get the measure of the exterior angle.
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The sum of the three interior angle measures of any triangle is equal to 180⁰
In + In + In = 180 The sum of the two nonadjacent interior angle measures of any triangle is equal to the measure of the exterior angle. In + In = Out
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Triangle Exterior Angle Theorem
In + In = Out = m∠2 72⁰ 108⁰ m∠2 = 72 ⁰ Obtuse Triangle
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Triangle Exterior Angle Theorem
In + In = Out 75⁰ 145⁰ 35⁰ x + 70 = 2x – 5 x + 75 = 2x m∠JKM = 2x – 5 -x x m∠JKM = 2(75) – 5 75 = x m∠JKM = 145⁰ Acute Triangle
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Complete IP #1-10
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