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7.1 Polygon Formulas Sum of Exterior Angles If one exterior angle is drawn at each of the vertices, the sum of all the exterior angles is 360o. Regular Polygons Examples 5.) The trampoline to the right is a regular dodecagon. a.) Find the measure of each interior angle. b.)
Definitions, notes, examples, and practice test (w/solutions) Including concave/convex, exterior/interior angle sums, diagonals, n-gon names, and more...
The sides or edges of a polygon are made of straight line segments connected end to end to form a closed shape. The point where two line segments meet is called vertex or corners, and subsequently, an angle is formed. If a polygon contains congruent sides, then that is called a regular polygon.
All the sides are congruent in an equilateral polygon. All the angles are congruent in an equiangular polygon. A regular polygon is one that is both equilateral and equiangular. If a polygon is not regular, it is called irregular. A polygon is concave if any part of a diagonal contains points in the exterior of the polygon. If
1. Find the sum of the measures of the interior angles of a convex heptagon. 2. Find the value of x in the figure. Then use x to find m ∠A and m ∠D. 3. Find the measure of each interior angle of a regular dodecagon. 4. The measure of an interior angle of a regular polygon is 165°. Find the number of sides of this polygon. 5.
Properties. So what can we know about regular polygons? First of all, we can work out angles. All the Exterior Angles of a polygon add up to 360°, so: Each exterior angle must be 360°/n. (where n is the number of sides) Press play button to see. Exterior Angle. (of a regular octagon) Example: What is the exterior angle of a regular octagon?
A regular polygon has 12 sides. Work out the size of each interior angle. Explain why the sum of the interior angles in a regular pentagon is 5400. ...............................................................................................................................
