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Find the measure of one interior angle in each polygon. Round your answer to the nearest tenth if necessary. 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 ° Find the measure of one exterior angle in each polygon.
Use our angles in a polygon worksheets to find the sum of the interior angles, the measure of each interior or exterior angle of regular polygons and more.
Shown below is an interior angle from a regular polygon. Calculate the number of sides the polygon has. ......................... (2) 20. The diagram shows parts of two regular polygons A and B. A has 10 sides and exterior angle 3x. B has exterior angle 2x. Work out the number of sides regular polygon B has.
7.1 Polygon Formulas Sum of Exterior Angles If one exterior angle is drawn at each of the vertices, the sum of all the exterior angles is 360o. Regular Polygons Examples 5.) The trampoline to the right is a regular dodecagon. a.) Find the measure of each interior angle. b.)
•Extend the concept of interior and exterior angles from triangles to convex polygons. •Find the sums of interior angles in convex polygons. •Identify the special properties of interior angles in convex quadrilaterals.
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.
A regular polygon has 12 sides. Work out the size of each interior angle. Explain why the sum of the interior angles in a regular pentagon is 5400. ...............................................................................................................................
