The formula to find the sum of the interior angles of any polygon is sum of angles n 2 180 where n is the number of sides of the polygon. Why is this interior angles in polygons worksheet useful.
Showing top 8 worksheets in the category angles in polygons.
Angles in polygons worksheet. 3x 5 180 subtract 180 from each side. 8 2 angles in polygons 419 find the value of x. Videos worksheets 5 a day and much more.
Solution using the polygon exterior angles theorem set the sum of the measures of the exterior angles equal to 360 8. Understanding how to find the interior angles of polygons is a key area of the maths curriculum. Formula for the sum of exterior angles the sum of exterior angles of any polygon is 360.
95 8 1 85 8 1 2×8 1 x8 5 360 8 polygon exterior angles theorem 180 1 3x 5 360 combine like terms. Some of the worksheets displayed are 6 polygons and angles sum of angles in polygons work answer key polygons polygons quadrilaterals and special parallelograms 6 introduction to polygons angles in polygon 1 work 1 revised convex polygons sum of angles in polygons work. Angles in triangles and polygons including tessellation.
Finishes with some work on regular polygons. The corbettmaths practice questions on angles in polygons. Read the lesson on angles of a polygon for more information and examples.
Angles are all multiples of 5 so this could be done without a calculator. Angles in the polygons worksheets this assemblage of printable angles in polygons worksheets for grade 6 through high school encompasses a multitude of exercises to find the sum of interior angles of both regular and irregular polygons find the measure of each interior and exterior angle simplify algebraic expressions to find the angle measure and much more. Students will need to know how to work out the total angle sum in each polygon before they attempt this worksheet.
And best of all they all well most come with answers. Find the missing angles in each of the polygons. Worksheets with answers whether you want a homework some cover work or a lovely bit of extra practise this is the place for you.
The exterior angle of a regular n sided polygon is 360 n worksheet using the formula for the sum of exterior angles. The sum of exterior angles of any polygon is 360º. Angles in polygons worksheets fine tune your skills using the angles in polygons worksheets with skills to find the sum of interior angles of regular and irregular polygons find the measure of each interior and exterior angle and much more.
Use these differentiated worksheets to help students practice how to calculate the interior angles of different shapes.