Polygon Worksheets
These worksheets focus on the topics typically covered in Geometry (no variables).
- Interior Angles of Polygons
- Exterior Angles of Polygons
- Similar Polygons
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PROBLEMS INVOLVING INTERIOR ANGLES OF A POLYGON WORKSHEET
Find the values of x in the following problems, giving brief reasons for your answers
Problem 1 :
Problem 2 :
Problem 3 :
Problem 4 :
Problem 5 :
Problem 6 :
A regular polygon has interior angles of 156 o . How many sides does the polygon have?
Problem 7 :
Five identical isosceles triangles are put together to form a regular pentagon.
a) Explain why 5x = 360.
b) Find x and y.
Problem 8 :
Find the measure of one interior angle in each polygon.
Problem 9 :
Problem 10 :
Problem 11 :
Problem 12 :
Find the measure of each exterior angle of a regular decagon.
Problem 13 :
If the measure of each exterior angle of a regular pentagon is (2x + 4) °, find the value of x.
Problem 14 :
Find the measure of each exterior angle of the regular polygon given below.
Problem 15 :
Find the measure of exterior angle corresponding to the interior angle x ° in the irregular polygon given below.
Problem 16 :
In a polygon, the measure of each interior angle is (5x+90)° and ex terior angle is (3x-6) ° . How many sides does the polygon have ?
(1) x = 108
(2) x = 150
(3) x = 60
(4) x = 150
(5) x = 95
(6) 15 sides.
(7) x = 72 and y = 54
(8) 108 °
(9) 135 °
(10) 147 ° 3'
(11) 120 °
(12) x = 34
(13) 4 0 °
(14) x = 110
(15) 70 °
(16) 12 sides.
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IMAGES
COMMENTS
1) Regular Polygon: It has equal sides and the same interior angles. Its shape has: Six equal sides and interior angles that measure 120 degrees. 2) Irregular Polygon: This polygon is irregular because its sides and angles are unequal. 3) Convex Polygon: Its interior angle is less than 180 degrees, and vertices are apparent.
Free printable worksheets with answer keys on Polygons (interior angles, exterior angles etc..)Each sheet includes visual aides, model problems and many practice problems
Problem 12 : Find the measure of each exterior angle of a regular decagon. Solution. Problem 13 : If the measure of each exterior angle of a regular pentagon is (2x + 4) °, find the value of x. Solution. Problem 14 : Find the measure of each exterior angle of the regular polygon given below.
5) Can the interior angles of a polygon have a sum between 4300° and 4400°? If so, how many sides can it have? 6) The measure of the interior angle of a regular polygon is 179°. How many sides does it have? 7) Is it possible for a regular polygon to have each of its interior angles measure 142°? Support your answer.
These Quadrilaterals and Polygons Worksheets will produce nine problems for solving the area and perimeter for squares, rectangles, parallelograms, rhombuses, and trapezoids. These worksheet are a great resources for the 5th, 6th Grade, 7th Grade, and 8th Grade. Identify Regular Polygons Worksheets
Apr 4, 2018 · The Corbettmaths Practice Questions on Angles in Polygons. Previous: Angles in Parallel Lines Practice Questions