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Hone your skills in finding the measure of each individual interior angle with this set of printable worksheets featuring regular polygons with ≤ 20 sides. The problems are offered as geometrical shapes and in the word format.
Shown below is an interior angle from a regular polygon. Calculate the number of sides the polygon has. ......................... (2) 20. The diagram shows parts of two regular polygons A and B. A has 10 sides and exterior angle 3x. B has exterior angle 2x. Work out the number of sides regular polygon B has.
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. ...............................................................................................................................
2 Work out the size of each interior angle in a regular octagon. (Total for question 1 is 2 marks) 1 Work out the size of an exterior angle of a regular hexagon.
4) Describe the method used in the Demo to demonstrate the Interior Angle Sum Theorem: The sum of the measures of the interior angles of a convex n-gon is 2 180n . 5) A corollary to the Interior Angle Sum Theorem is n 2 180 n . What can it be used to find? 6) What does the Exterior Angle Sum Theorem state about the exterior angles of a convex ...
Students will practice working with the formula for interior angles of regular polygons. This worksheet includes many practice problems including an 'extend your thinking' bonus problem at the sheet's end.
Write down a formula that relates the size of an exterior angle (E) and the size of an interior angle (I) of a polygon. Write down a formula that allows you to calculate the sum (S) of the interior angles in a regular polygon with n sides. Each exterior angle of a regular polygon is 15o.