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Polygons – Angles In Regular Polygons

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Presentation on theme: "Polygons – Angles In Regular Polygons"— Presentation transcript:

1 Polygons – Angles In Regular Polygons
Regular Polygons have equal sides and equal angles, So if we can find one side, we would know the measure of all sides. If we can find the measure of one interior angle, we would know the measure of all interior angles.

2 Polygons – Angles In Regular Polygons
Regular Polygons have equal sides and equal angles, So if we can find one side, we would know the measure of all sides. If we can find the measure of one interior angle, we would know the measure of all interior angles. The formula for finding the measure of each interior angle is again determined by the number of sides of the polygon…

3 Polygons – Angles In Regular Polygons
Regular Polygons have equal sides and equal angles, So if we can find one side, we would know the measure of all sides. If we can find the measure of one interior angle, we would know the measure of all interior angles. The formula for finding the measure of each interior angle is again determined by the number of sides of the polygon… EXAMPLE # 1 : What are the measures of the interior angles of a regular polygon with 5 sides ?

4 Polygons – Angles In Regular Polygons
Regular Polygons have equal sides and equal angles, So if we can find one side, we would know the measure of all sides. If we can find the measure of one interior angle, we would know the measure of all interior angles. The formula for finding the measure of each interior angle is again determined by the number of sides of the polygon… EXAMPLE # 1 : What are the measures of the interior angles of a regular polygon with 5 sides ?

5 Polygons – Angles In Regular Polygons
Regular Polygons have equal sides and equal angles, So if we can find one side, we would know the measure of all sides. If we can find the measure of one interior angle, we would know the measure of all interior angles. The formula for finding the measure of each interior angle is again determined by the number of sides of the polygon… EXAMPLE # 2 : What are the measures of the interior angles of a regular polygon with 18 sides ?

6 Polygons – Angles In Regular Polygons
Regular Polygons have equal sides and equal angles, So if we can find one side, we would know the measure of all sides. If we can find the measure of one interior angle, we would know the measure of all interior angles. The formula for finding the measure of each interior angle is again determined by the number of sides of the polygon… EXAMPLE # 2 : What are the measures of the interior angles of a regular polygon with 18 sides ?

7 Polygons – Angles In Regular Polygons
Regular Polygons have equal sides and equal angles, So if we can find one side, we would know the measure of all sides. If we can find the measure of one interior angle, we would know the measure of all interior angles. Since the exterior angles of ANY polygon add up to 360 degrees, the formula for finding the measure of EACH exterior angle is…

8 Polygons – Angles In Regular Polygons
Regular Polygons have equal sides and equal angles, So if we can find one side, we would know the measure of all sides. If we can find the measure of one interior angle, we would know the measure of all interior angles. Since the exterior angles of ANY polygon add up to 360 degrees, the formula for finding the measure of EACH exterior angle is… EXAMPLE # 2 : What are the measures of the exterior angles of a regular polygon with 6 sides ?

9 Polygons – Angles In Regular Polygons
Regular Polygons have equal sides and equal angles, So if we can find one side, we would know the measure of all sides. If we can find the measure of one interior angle, we would know the measure of all interior angles. Since the exterior angles of ANY polygon add up to 360 degrees, the formula for finding the measure of EACH exterior angle is… EXAMPLE # 3 : What are the measures of the exterior angles of a regular polygon with 6 sides ?

10 Polygons – Angles In Regular Polygons
Regular Polygons have equal sides and equal angles, So if we can find one side, we would know the measure of all sides. If we can find the measure of one interior angle, we would know the measure of all interior angles. Since the exterior angles of ANY polygon add up to 360 degrees, the formula for finding the measure of EACH exterior angle is… EXAMPLE # 4 : What are the measures of the exterior angles of a regular polygon with 15 sides ?

11 Polygons – Angles In Regular Polygons
Regular Polygons have equal sides and equal angles, So if we can find one side, we would know the measure of all sides. If we can find the measure of one interior angle, we would know the measure of all interior angles. Since the exterior angles of ANY polygon add up to 360 degrees, the formula for finding the measure of EACH exterior angle is… EXAMPLE # 4 : What are the measures of the exterior angles of a regular polygon with 15 sides ?


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