Sum Of Interior Angles Of A Polygon Worksheet Worksheet: polygons & lnterior angles period: date: using the interior angle sum theorem since a hexagon has six (6) sides, we can find the sum of all six interior angles by using n = 6 and: sum = (n 2)’180° = (6 2).180o = (4) 180o hexagon sum = 720° all regular polygons are equiangular, therefore, we can find the measure of each interior. The sum of the exterior angles at each vertex of a polygon measures 360 o. divide 360 by the number of sides, to figure out the size of each exterior angle in this unit of regular polygons pdf worksheets for 8th grade and high school students. download the set. find the indicated interior angles | algebra in polygons.
Sum Of Interior Angles Of A Polygon Worksheet With Answers Sum of interior angles answer key es2 example: sum of the interior angles = (number of sides 2) x 180 = (6 2) x 180 = 4 * 180 = 720 o o o 1) number of sides : sum of the interior angles : o 2) number of sides : sum of the interior angles : 3) number of sides : sum of the interior angles : 4) number of sides : sum of the interior angles : 5. Question 3: work out the number of sides of polygons with these sum of interior angles (a) 1260° (b) 2880° (c) 3960° (d) 5040° (e) 12240° (f) 15840° (g) 2340° (h) 89640° question 4: each of the polygons below are regular. calculate the size of each interior angle, x. (a) (b) (c). 20) regular 23 gon 15.7° 1440°. 1080°. 1260°. 28) regular 18 gon 2880°. 30) regular 15 gon 2340°. 32) is there a regular polygon with an interior angle sum of 9000°? if so, what is it? yes, regular 52 gon. create your own worksheets like this one with infinite geometry. The ratio of number two sides of two regular polygons is 3 : 4 and the ratio of the sum of their interior angles is 1 : 2. find the number of sides of each polygon. 6. the four angle of a hexagon are 60°, 90°, 150° and 180° and the other two angles are equal. find the measure of these equal angles. 7.
Sum Of Interior Angles Of A Polygon Worksheet 20) regular 23 gon 15.7° 1440°. 1080°. 1260°. 28) regular 18 gon 2880°. 30) regular 15 gon 2340°. 32) is there a regular polygon with an interior angle sum of 9000°? if so, what is it? yes, regular 52 gon. create your own worksheets like this one with infinite geometry. The ratio of number two sides of two regular polygons is 3 : 4 and the ratio of the sum of their interior angles is 1 : 2. find the number of sides of each polygon. 6. the four angle of a hexagon are 60°, 90°, 150° and 180° and the other two angles are equal. find the measure of these equal angles. 7. Find the value of each variable: always check your work!worksheet by kuta software llc. 4 packet 5.1: polygon ∡ sum theorem. 1. find the measure of one interior angle in a regular 14 ‐gon. 2. find the measure of one exterior angle in a regular 20 ‐gon. for problems 3 – 5, find the value of x. Square has four side and formula to find out the sum of interior angles: 180 (n 2), here n is number of sides of the given polygon, n = 4 so, by using formula: 180 ( n 2) = 180 ( 4 2) = 180 × 2 = 360° measure of each interior angle = sum of all angles ÷ n = 360 4 = 90° . measure of each exterior angle = 180 each interior angle = 180.
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