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Triangle measures

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Triangle measures

  1. 1. Warm UpPlace the date in the top right of your paper. Sept. 10, 2012If <3 is 75 ̊, find the measures of the other angles. 1 2 4 5 3 6 7 8
  2. 2. Activator Exploring TrianglesWatch me Fold for Understanding!
  3. 3. Triangle Measures
  4. 4. Triangle MeasuresInterior Angles
  5. 5. Triangle MeasuresInterior Angles of a Triangle Triangle Sum TheoremAll angle measures inside the triangle(interior angles) added together equal180 ˚. a c m<a +m<b + m<c = 180 ˚ b Let’s Practice
  6. 6. Triangle MeasuresWhat is the value of x? 35 ˚ 40 ˚ x* This figure is not drawn to scale.
  7. 7. Triangle MeasuresWhat is the value of x? 35 ˚ 40 ˚ x 35 + 40 + x = 180 75 + x = 180 x = 105
  8. 8. Triangle MeasuresWhat is the value of x? 45 ˚ 90 ˚ x* This figure is not drawn to scale.
  9. 9. Triangle MeasuresWhat is the value of x? 45 ˚ 90 ˚ x 45 + 90 + x = 180 ˚ 135 + x = 180 ˚ x = 45
  10. 10. Triangle MeasuresExterior Angles
  11. 11. Triangle Measures a Exterior Angle b cFrom the above figure what can you state about<c and the exterior angle?
  12. 12. Triangle Measures a Exterior Angle b cFrom the above figure what can you state about<c and the exterior angle? They are supplementary.
  13. 13. Triangle Measures a Exterior Angleb c Let’s Explore the Measures! Click the link
  14. 14. Triangle Measures a Exterior Angleb c More Examples Click the link Practice!
  15. 15. Closing Human ParagraphI need five volunteers to sum up the lesson!

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