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Exterior Angles of Polygons:

Exterior Angles of Polygons:. Exterior Angles of Polygons:. Exterior Angles of Polygons:. Exterior Angles:. Exterior Angles of Polygons:. Exterior Angles: Angles formed by a side of a polygon and the extension of an adjacent side. Exterior Angles of Polygons:. Exterior Angles:

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Exterior Angles of Polygons:

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  1. Exterior Angles of Polygons:

  2. Exterior Angles of Polygons:

  3. Exterior Angles of Polygons: • Exterior Angles:

  4. Exterior Angles of Polygons: • Exterior Angles: • Angles formed by a side of a polygon and the extension of an adjacent side.

  5. Exterior Angles of Polygons: • Exterior Angles: • Angles formed by a side of a polygon and the extension of an adjacent side.

  6. Draw the figure and all it’s exterior angles:

  7. Draw the figure and all it’s exterior angles:

  8. Draw the figure and all it’s exterior angles:

  9. How does the number of exterior angles compare to the sides of the polygon?

  10. How does the number of exterior angles compare to the sides of the polygon? • It is always the same.

  11. Formula to find the sum of the measures of the exterior angles of a polygon: • All the angles add up to 360

  12. Formula to find the sum of the measures of the interior angles of a polygon:

  13. Formula to find the sum of the measures of the interior angles of a polygon: N is the number of sides.

  14. Formula to find the sum of the measures of the interior angles of a polygon: N is the number of sides. The sum of the interior angles is found by: S = (N-2)180

  15. Formula to find the sum of the measures of the interior angles of a polygon: N is the number of sides. The sum of the interior angles is found by: S = (N-2)180 The measure of each interior angle is: S = (N-2)180 N

  16. Remember that a regular polygon has all equal sides and angles.

  17. Remember that a regular polygon has all equal sides and angles. • You can find the measure of ONE EXTERIOR ANGLE of a regular polygon by: • M = 360 N

  18. Remember that a regular polygon has all equal sides and angles. • You can find the measure of ONE EXTERIOR ANGLE of a regular polygon by: • M = 360 • Where M is the measure of the exterior angle and N is the number of sides. N

  19. Find the measure of the exterior angles for the regular polygons:

  20. 128 81 134 108 120 x Find the value of X.

  21. 128 81 134 108 120 x Find the value of X. • First find what the sum off all the angles must be.

  22. 128 81 134 108 120 x Find the value of X. • First find what the sum off all the angles must be. • The figure has 6 sides.

  23. 128 81 134 108 120 x Find the value of X. • First find what the sum off all the angles must be. • The figure has 6 sides.

  24. 128 81 134 108 120 x Find the value of X. • First find what the sum off all the angles must be. • The figure has 6 sides. Put this information into the equation.

  25. 128 81 134 108 120 x Find the value of X. • First find what the sum off all the angles must be. • The figure has 6 sides. Put this information into the equation. S = (N-2)180

  26. 128 81 134 108 120 x Find the value of X. • First find what the sum off all the angles must be. • The figure has 6 sides. Put this information into the equation. S = (N-2)180 S = (6-2)180

  27. 128 81 134 108 120 x Find the value of X. • First find what the sum off all the angles must be. • The figure has 6 sides. Put this information into the equation. S = (N-2)180 S = (6-2)180 S = (4)180

  28. 128 81 134 108 120 x Find the value of X. • First find what the sum off all the angles must be. • The figure has 6 sides. Put this information into the equation. S = (N-2)180 S = (6-2)180 S = (4)180 S = 720

  29. 128 81 134 108 120 x Find the value of X. • First find what the sum off all the angles must be. • The figure has 6 sides. Put this information into the equation. S = (N-2)180 S = (6-2)180 S = (4)180 S = 720 720 = 108+134+128+81+120+x

  30. (3x + 8) (2x + 1) (x + 21) Find the value of X

  31. Given a regular octagon, find the following:

  32. The measure of an exterior angle of a regular polygon is 30. Find the number of sides.

  33. The measure of an interior angle of a regular polygon is 144. Find the number of sides.

  34. Assignment: • Handout. Due Wednesday.

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