Exterior Angles of Polygons:

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The shapes below are examples of regular polygons

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Presentation transcript:

Exterior Angles of Polygons:

Exterior Angles of Polygons:

Exterior Angles of Polygons:

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

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

Draw the figure and all it’s exterior angles:

Draw the figure and all it’s exterior angles:

Draw the figure and all it’s exterior angles:

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

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

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

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

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

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

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: N

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

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

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

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

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

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

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

Find the value of X. First find what the sum off all the angles must be. The figure has 6 sides. 128 81 120 108 134 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. 128 81 120 108 134 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)180 128 81 120 108 134 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)180 128 81 120 108 134 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)180 128 81 120 108 134 x S = (4)180

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)180 128 81 120 108 134 x S = (4)180 S = 720

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)180 128 81 120 108 134 x S = (4)180 S = 720 720 = 108+134+128+81+120+x

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

Given a regular octagon, find the following: Sum of the interior angles: Sum = _______________ Sum of the exterior angles: Measure of each interior angle: Measure = _______________ Measure of each exterior angle: Measure = _______________

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

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

Assignment: Handout. Due Wednesday.