# Worksheet on Interior Angles of a Polygon

Practice the questions given in the worksheet on interior angles of a polygon.

We know, the sum of all the interior angles of a polygon is (n – 2) × 180°. The questions are based on finding the sum of the interior angles of a polygon using the formula.

1. Is it possible to have a polygon whose sum of the interior angles is:

(a) 720°

(b) 840°

(c) 1080°

(d) 620°

(e) 22°

2. Is it possible to construct a polygon, the sum of whose interior angles is 20 right angles? If yes, find the number of sides of the polygon.

3. The angle of a hexagon are in the ratio 1 : 2 : 3 : 4 : 6 : 8. Find the measure of the smallest and the biggest angles.

4. One of the angle of a polygon is 100° and each of the other angles is 110°. Find the number of sides in the polygon.

5. 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. The measure of four angles of a heptagon is equal and the measure of the other three angles is 120° each. Find the measure of unknown angles.

8. The four angle of a pentagon are equal and the fifth angle measure 140°. Find the measure of four equal angles.

9. The seven angle of an octagon are 132° each. Find the measure of the eighth angle.

10. The angles of a pentagon are x°, (x – 5)°, (x + 15)°, (3x – 44)° and (x – 70)°. Find x.

11. The angle of a pentagon are (x – 1)°, (x – 2)°, (x – 3)°, (x – 4)° and (x – 5)° . Find the value of x and the measure of all angles.

12. Four of the angles of a pentagon are equal. The fifth angle is 40°. Find the angles.

13. Each interior angle of a polygon is 150°. Find the sum of interior angles of a polygon which has half the number of sides of the given polygon.

Answers for the worksheet on interior angles of a polygon are given below to check the exact answers of the above questions.

1. (a) Yes

(b) No

(c) Yes

(d) No

(e) No

2. Yes, 12

3. Smallest angle = 30° and biggest angle = 240°

4. 5

5. 3, 4

6. 120°

7. 135°

8. 100°

9. 156°

10. 92

11. 111°, 110°, 109°, 108°, 107° and 106°

12. 125°, 125°, 125°, 125° and 40°

13. 720°

Polygons - Worksheets

Worksheet on Polygon and its Classification

Worksheet on Interior Angles of a Polygon

Worksheet on Exterior Angles of a Polygon

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 1. ### Cardinal Numbers and Ordinal Numbers | Cardinal Numbers | Ordinal Num

Dec 07, 23 01:27 AM

Cardinal numbers and ordinal numbers are explained here with the help of colorful pictures. There are many steps in a staircase as shown in the above figure. The given staircase has nine steps,

2. ### Smallest and Greatest Number upto 10 | Greater than | Less than | Math

Dec 06, 23 11:21 PM

We will discuss about the smallest and greatest number upto 10.

3. ### 2nd grade math Worksheets | Free Math Worksheets | By Grade and Topic

Dec 06, 23 01:47 PM

2nd grade math worksheets is carefully planned and thoughtfully presented on mathematics for the students.

Polygons

Polygon and its Classification

Terms Related to Polygons

Interior and Exterior of the Polygon

Convex and Concave Polygons

Regular and Irregular Polygon

Number of Triangles Contained in a Polygon

Angle Sum Property of a Polygon

Sum of the Exterior Angles of a Polygon