![]() ![]() This solution requires use of algebraic skills. Set the formula equal to 140 and solve for n. Nine sides means 7 internal triangles = 1260º with 140º per angle. The polygon we want must be between these two. 8 sides: has a total interior angles = 1080º with 135º per angle.A diagonal of a quadrilat-eral is a line segment whose end-points are opposite vertices of the quadrilateral. 10 sides: has total interior angles = 1440º with 144º per angle De nition: A quadrilateral is a polygon with 4 sides.This is a tough one! We can try "guess and check" based upon what we have seen so far for regular polygons: OR, use the formula and some substitution to get the answer:Įach interior angle of a regular polygon measures 140º. Since each angle is the same size in a "regular" pentagon, each angle must be 540 / 5 = 108º. A polygon cannot have a "portion" of a side.)įind the number of degrees in each interior angle of a regular pentagon.Ī pentagon will decompose into 3 triangles, for a total of 3 (if n, the answer, is not a positive integer, you will know you did something wrong. what is the name of the quadrilateral verified. Set the formula equal to 1080 and solve for n. A quadrilateral has four equal length sides, two lines of symmetry, and order of rotational symmetry 2. OR, we can use the formula and algebra to get this answer: This is a flexible resource, perfect for using in different ways when teaching about 4-sided shapes, including squares, rectangles and quadrilaterals. Available in coloured and black and white versions. The above image is an example of a quadrilateral. Select the pages that you need and print the shapes to be used in a range of different activities. The word ‘quadrilateral’ is derived from the Latin words ‘quadri,’ which means four, and ‘latus’, which means side. If the figure divides into 6 triangles, it must have 8 sides. What is a Quadrilateral A quadrilateral is a polygon having four sides, four angles, and four vertices. How many sidesdoes a polygon have if the sum of the interior angles is 1080º?įirst, let's figure this out by thinking about the number of triangles you would need to get a total of 1080º for the sum of all the angles.ġ080º divided by 180º = 6 (meaning 6 triangles). So, we can draw 8 triangles in a 10-sided decagon, each with 180º for a total of 1440º. Look for "hint" words such as sum, interior, each, degrees and sides.įinding SUM and EACH interior angles, with and without formulas:įind the number of degrees in the sum of the interior angles of a decagon. When working with angle formulas for polygons, be sure to read carefully to determine what you are being asked to find. ![]()
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