8 2 angles in polygons 417 goal find the measures of interior and exterior angles of polygons. Find the number of sides of the polygon.
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Calculate the size of the exterior angles of a regular polygon which has interior angles of.
Interior and exterior angles of polygons worksheet with answers pdf. 181 the definitions for interior angles and exterior angles can be extended to include angles formed in any polygon. 181 exterior angle p. Find the number of sides of the polygon.
4 find one exterior angle of the regular polygon shown below giving your answer to 3 significant figures where necessary 1 5 one exterior angle of a regular polygon is 36. 2 21 shown below are two identical regular polygons and an equilateral triangle calculate the number of sides each regular polygon has. Work out the number of sides of the polygon.
Calculate the sizes of the exterior and interior angles of. The size of each interior angle of a regular polygon is 156. 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.
Find the nmnbar of sides for each a 72 b 40 2 find the measure of an interior and an exterior angle of a regular 46 gon. 1 6 one interior angle of a regular polygon is 135. Each exterior angle of a regular polygon is 30.
1 108 2 135 3 147 3 4 120 5 140 6 150 7 regular 24 gon 165 8 regular quadrilateral 90 9 regular 23 gon 164 3 10 regular 16 gon 157 5. Using the interior exterior angle sum theorems 1 the measure of one exterior angle of a regular polygon is given. Polygons and angles date period find the measure of one interior angle in each polygon.
Key words interior angle p. Round your answer to the nearest tenth if necessary. Angles of polygons review period.
A calculate the size of the interior angles of a regular 12 sided polygon. A 150 b 175 c 162 d 174 2. Polygons materials required for examination items included with question papers.
19 work out the sum of the interior angles for a 40 sided polygon 2 20 the sum of the interior angles in a polygon is 7380 calculate the number of sides the polygon has. A a regular octagon b a regular decagon. 1 7 complete the sentence.
In the diagrams shown below interior angles are red and exterior angles.
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