Polygon Interior & Exterior Angles

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Interior angle formula for Regular Polygons to find ONE interior angle

(n-2)180/n

8 Sides of a polygon means the sum of its interior angles is...

1080°

10 Sides of a polygon means the sum of its interior angles is...

1440°

11 Sides of a polygon means the sum of its interior angles is...

1620°

3 Sides of a polygon means the sum of its interior angles is...

180°

ONE Exterior Angle Formula for Regular Polygons

360/n

Exterior Angles of a polygon always equals

360°

For any polygon, the sum of the measures of a set of exterior angles is ___.

360°

360° for the sum of a polygons interior angles means it has...

4 Sides

5 Sides of a polygon means the sum of its interior angles is...

540°

900° for the sum of a polygons interior angles means it has...

7 Sides

6 Sides of a polygon means the sum of its interior angles is...

720°

1260° for the sum of a polygons interior angles means it has...

9 Sides

2 Sides of a polygon means the sum of its interior angles is...

90°

SUM/Total of the interior angles of a polygon formula

S = (n-2)180

360 (I'm extending the lines of my polygon and eventually I'll go all the way around in a circle)

What do exterior angles of a polygon always add up to?

180 degrees (angles on a straight line).

What do x and y always add up to?

360/n

What is the formula for finding the exterior angle of a Regular Polygon?

(n-2) x 180

What is the formula for finding the sum of interior angles?

51.4 degrees (7 sides, regular means all the same so angles are also all the same, 360 total degrees for exterior angles so 360/7 = 1 exterior angle.)

What is the measure of one exterior angle of this regular heptagon (round to 1dp if needed)?

540. (n-2) x 180.

What is the sum of the interior angles of this polygon?

900. (n-2) x 180.

What is the sum of the interior angles of this polygon?

Exterior

What type of angle is highlighted?


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