Worksheet on Exterior Angles of a Polygon
Practice the questions given in the worksheet on exterior angles of a polygon.
We know, the sum of all the exterior angles of a polygon having n sides is 360°. The questions are based on finding the sum of the exterior angles of a polygon and the number of sides of a polygon using the formula.
1. Find the number of sides of a regular polygon if each of its exterior angle is:
(a) 45°
(b) 60°
(c) 120°
(d) 40°
2. Draw a regular pentagon whose exterior angles are p, q, r, s, t and each interior angle is k.
What is the measure of:
(a) each interior angle
(b) each exterior angle
3. Each interior
angle of a polygon is five (5) times the exterior angle of the polygon. Find
the number of sides.
4. Find the minimum interior angles and maximum exterior angles possible in a regular polygon. Give reasons to support your answer.
5. Find the exterior angle of a regular polygon of:
(a) 5 sides
(b) 9 sides
(c) 15 sides
(d) 19 sides
6. The ratio between an exterior angle and the interior angle of a regular polygon is 1 : 2. Find:
(a) the measure of each exterior angle.
(b) the measure of each interior angle.
(c) the number of sides in the polygon.
7. The measure of the exterior angle of a hexagon is (3x – 4)°, (x + 4)°, (7x – 3)°, (8x – 1)°, (2x + 3)°, (9x + 1)°. Find the measure of each angle.
8. Is it possible to have a regular polygon each of whose exterior angle is 50°? Give reason to support your answer.
9. The ratio of the exterior and interior angle of a regular polygon is 2 : 3. Find the number of sides in the polygon.
10. The exterior angles of a hexagon are in the ratio 1 : 1 : 2 : 2 : 3 : 3. Find all the interior angles of the hexagon.
11. The sum of all the interior angles of a polygon is four times the sum of its exterior angles. Find the number of sides in the polygon. Also, find the measure of each exterior angle and each interior angles.
Answers for the worksheet on exterior angles of a polygon are given below to check the exact answers of the above questions.
Answers:
1. (a) 8
(b) 6
(c) 3
(d) 9
2. (a) 108°
(b) 72°
3. 12
4. 60°, 120°
5. (a) 72°
(b) 40°
(c) 24°
(d) 18\(\frac{18}{19}\)°
6. (a) 60°
(b) 120°
(c) 6
7. 68°, 28°, 165°, 191°, 51° and 217°
8. No
9. 5
10. 150°, 150°, 120°, 120°, 90° and 90°
11. Number of sides = 10, exterior angle = 36° and interior angle = 144°
● Polygons - Worksheets
Worksheet on Polygon and its Classification
Worksheet on Interior Angles of a Polygon
Worksheet on Exterior Angles of a Polygon7th Grade Math Problems
8th Grade Math Practice
From Worksheet on Exterior Angles of a Polygon to HOME PAGE
Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.
Recent Articles
-
Facts about Subtraction | Subtraction of Small Numbers|Solved Examples
Jan 14, 25 12:29 AM
The operation to finding the difference between two numbers is called subtraction. Let us know some facts about subtraction which will help us to learn subtraction of large numbers. 1. Subtraction wit… -
Word Problems on Subtraction |Worksheet on Subtraction Word Problems |
Jan 14, 25 12:21 AM
In word problems on subtraction we need to read the question carefully and understand what we need to find out. We know, in subtraction the larger number from which we subtract the other number (the s… -
Worksheet on Estimating Sums and Differences | Find the Estimated Sum
Jan 13, 25 01:34 PM
In 4th grade worksheet on estimating sums and differences, all grade students can practice the questions on estimations.This exercise sheet on estimating sums and differences can be practiced -
Worksheet on Mixed Addition and Subtraction | Questions on Addition
Jan 12, 25 02:14 PM
In worksheet on mixed addition and subtraction the questions involve both addition and subtraction together; all grade students can practice the questions on addition and subtraction together. -
Estimating Sums and Differences | Estimations | Practical Calculations
Jan 12, 25 02:02 PM
For estimating sums and differences in the number we use the rounded numbers for estimations to its nearest tens, hundred, and thousand. In many practical calculations, only an approximation is requir…
● Polygons
Polygon and its Classification
Interior and Exterior of the Polygon
Number of Triangles Contained in a Polygon
Angle Sum Property of a Polygon
Problems on Angle Sum Property of a Polygon
New! Comments
Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.