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Use our angles in a polygon worksheets to find the sum of the interior angles, the measure of each interior or exterior angle of regular polygons and more.
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.
Work out the number of sides regular polygon B has. ......................... (5) 21. The diagram below shows part of a regular polygon. (a) Calculate the size of each exterior angle. 23. Work out the sum of the interior angles for a 40 sided polygon. .........................°.
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.
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 polygon? 7) How can you find the measure of each exterior angle if the polygon is a regular polygon?
1 Work out the size of an exterior angle of a regular hexagon. (Total for question 3 is 2 marks) 3 Work out the size of each interior angle in a regular pentagon
Hone skills with our angles in polygons worksheets packed with regular polygons like pentagons and hexagons and irregular polygons like quadrilaterals and parallelograms. Practice finding missing angles in polygons and determine their total interior angles with our comprehensive exercises.