Navigate through the polygons charts featured here for a thorough knowledge of the types of polygons. Whether you want a homework, some cover work, or a lovely bit of extra practise, this is the place for you. They create insides, called the interior, and outsides, called the exterior. Revise for your maths regular polygon with lots of practice questions and worksheets. The size of each interior angle of a regular polygon is 156. Interior angles of polygons an interior angle is an angle inside a shape. You may need to find exterior angles as well as interior angles when working with polygons. The sum of the measures of the interior angles of a polygon with n sides is n 2180. Test how well you know your facts in this gcse maths quiz. Quadrilaterals are 2d shapes with four sides and angles. Interior and exterior angles revision and regular polygon rules. If we are told the number of sides a polygon has, we can work out the total sum of all the interior angles using this little formula.
Interior and exterior angles worksheets questions and revision. Dfm is a huge bank of free educational resources for teaching mathematics, with full sets of slides, worksheets, games and assessments that span year 7 to further maths and enrichment resources with a maths challengeolympiad focus. In the picture on the right, the red angles are the interior angles of the triangle and the blue angles are the exterior angles. Although you know that sum of the exterior angles is 360, you can only use formula to find a single exterior angle if the polygon is regular. Use the triangles to work out the sum of the interior angles of polygon abcde. Students also learn the following formulas related to convex polygons. Everything you need to know about a polygon doesnt necessarily fall within its sides. Interior exterior angles and sums of various polygons. Gcse 91 exam question practice angles in polygons teaching.
Pencil, pen, ruler, protractor, pair of compasses and eraser. Interior and exterior angles free maths teaching resources. Angles of a polygon practice polygons khan academy. Gcse igcse exterior and interior angles in polygons. A polygon is a 2d shape which is made up of straight line segments. The interior angles of a shape are the angles inside the shape. Our mission is to provide a free, worldclass education to anyone, anywhere. You can also add up the sums of all interior angles, and the sums of all exterior angles, of regular polygons. Interiorexterior angles of polygons teaching resources.
Find interior and exterior angles of polygons when given various problems. Students can complete this set of questions interactively on the dfm homework platform. In the diagrams shown below, interior angles are red, and exterior angles. Gcse question compilation which aims to cover all types of questions that might be seen on the topic of angles including interior and exterior angles of polygons but excluding bearings, which is separate.
Polygons are like the little houses of twodimensional geometry world. These questions focus on applying the formulas for sum of the interior angles in a polygon and the exterior angles in a polygon. Tenth grade lesson presenting polygons betterlesson. We are working hard on a new platform for setting, building and monitoring homework. You are given a starting direction and a description of a turn. Form and solve equations using the angle properties of. Regents interior and exterior angles of polygons 2a. The size of each exterior angle of a regular polygon is 300 b work out the number of sides of the polygon. A regular polygon has all sides and angles equal e. A triangle with all sides and angles equal is known as an equilateral triangle. Angles in polygons practice questions corbettmaths. I usually print these questions as an a5 booklet and issue them in class or give them out as a homework. If you like this resource, then please rate it andor leave a comment if the rateresource button on this page does not work, then go to. A polygon is the family name for twodimensional shapes whose edges are all straight lines.
Interior and exterior angles of polygons cut, paste, solve, match puzzle activity in this activity, students cut out 48 puzzle pieces that represent the different angles in regular polygons these include. Find the sum of interior angles of different polygons. All the interior angles in a regular polygon are equal. I can identify, describe, and sketch polygons, find the sum of the interior and exterior angles and find the measure of one interior or one exterior angle of a regular polygon. Ten lessons on transforming shapes for higher gcse mathematics. Gcse maths revision interior angles of polygons questions author. The corbettmaths practice questions on angles in polygons. Gcse polygons shapes that have three or more straight sides.
Polygons are named after the number of sides they have. This exit ticket can easily be extended by asking students to find the measure of each interior. You can measure interior angles and exterior angles. Calculate the size of the exterior and interior angle in a regular pentagon. Then, if you draw on extensions to the sidelengths of each shape, the exterior angles are the angles form between a sidelength and an extension. Regents interior and exterior angles of polygons 1. The complete range of ks3 gcse skills are covered and there are some problems solving questions at the end. Students use the properties of regular polygons to calculate interior and exterior angles. Calculating the exterior angles of regular polygons. I also make them available for a student who wants to do focused independent study on a topic. Students learn the definitions of vertices and diagonals of polygons. Polygons angles, lines and polygons aqa gcse maths. An interior angle of a polygon is an angle inside the polygon at one of its vertices.
Four of the exterior angles of a pentagon are the same. Work out the sum of the interior angles of the pentagon abcde. Exterior angles of regular polygons worksheet edplace. Gcse revision interior and exterior angles teaching. Use the formula from c3 to check whether this total agrees with the number of sides of the polygon. Understand the rules for interior and exterior angles of polygons. Consider, for instance, the pentagon pictured below.
A polygon is simply a shape with three or more sides and angles. Regular polygons have exterior angles which are all equal to each other. Interior and exterior angles two main activities are included in this lesson the first looks at the relationships between the number of sides and the size of the exterior and interior angle, the second task features exam style questions. The sum of the measures of the interior angles of a polygon is always 180n2 degrees, where n represents the number of sides of the polygon. Work out the size of an exterior angle of a regular pentagon.
An online game in which students consider the interior and exterior. This video explains interior and exterior angles for polygons and goes through some igcse exam questions on. Ideal for gcse revision, this worksheet contains examtype questions that gradually increase in difficulty. Maths revision video and notes on the topic of angles in polygons.
A collection of 91 maths gcse sample and specimen questions from aqa. This video explains interior and exterior angles for polygons. Use your knowledge of the sums of the interior and exterior angles of a polygon to answer the following questions. The sum of the exterior angles of a polygon is 360. There are a number of properties that apply to all polygons, and a few more that only apply to regular polygons. As learning progresses through the lesson students are challenged to solve complex problems involving overlapping polygons and polygons contained within a rectangle. This sheet covers interior and exterior angles in polygons. More lessons for gcse maths math worksheets examples, solutions, and videos to help gcse maths students learn how to find the interior and exterior angles of quadrilaterals. The formula for calculating the size of an interior angle is. Interior and exterior angles of quadrilaterals examples. Learn to identify the polygons and get a clear picture of the interior, exterior angles and the sum of interior angles as well. More lessons for gcse maths math worksheets examples, solutions, and videos to help gcse maths students learn how to find the interior and exterior angles of polygons. Includes a number of exercises for which solutions are in the slides. Mathematics revision lesson for solving problems involving the interior and exterior angles of regular polygons.
Remember the interior and exterior angle add up to 180. The exit ticket is a quick, formative assessment of students learning on the sum of the interior angles of a polygon. The sum of the exterior angles of any polygon is 360 degrees. Gcse igcse exterior and interior angles in polygons explanation and exam questions. An exterior angle of a polygon is an angle outside the polygon formed by one of its sides and the extension of an adjacent side. Polygons angles, lines and polygons edexcel gcse maths. Properties of polygons all resources for 3 year route map zip folder. Work out the sum of the interior angles for polygons with. Remade and reuploaded 9th february 2020 calculating interior and exterior angles of polygons. The formula for calculating the size of an exterior angle is.
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