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Determine the sum of the interior angles using the formula. Set up an equation by adding all the interior angles, presented as numerical and algebraic expressions and solve for x. Plug in the value of x in the algebraic expressions to find the indicated interior angles.
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.
So, what if you want to find one angle? This formula will tell you the sum of interior angles, then all you have to do is subtract the sum of known interior angles from the total sum of interior angles, and it's done! This set of worksheets concentrates on the interior angles of polygons.
The general formula is: Sum of Interior Angles = (n – 2) × 180°. ‘ n ’ is the number of sides the polygon has. Step by step guide: Angles in polygons. What are interior angles of polygons? Keywords. Polygon: A polygon is a two dimensional shape with at least three sides, where the sides are all straight lines. Regular & irregular polygons:
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.
interior angle is 4x. a) Use the relationship between interior and exterior angles to find x. b) Find the measure of one interior and exterior angle. c) Find the number of sides in the polygon and the type of polygon. 4) The measure of one interior angle of a regular polygon is 144°. How many sides does it have?
How can we use the formula to find the measure of only one interior angle in an equilateral polygon? Try finding one interior angle of a regular hexagon.
