**Interior angles of a polygon worksheet :**

Here we are going see some practice questions based on interior angles of a polygon.

(1) Find the measure of one interior angle in each polygon.

(2) Find the measure of one interior angle in each polygon.

(3) Find the measure of one interior angle in each polygon.

(4) Find the measure of one interior angle in each polygon.

**Question 1 :**

Find the measure of one interior angle in each polygon.

**Solution :**

According to the formula, first let us count the number of sides of the polygon.

AB, BC, CD, DE, EA total number of sides are 5.

Sum of interior angles of polygon = (n - 2) x 180°

= (5 - 2) x 180°

= 3 x 180°

= 540°

Measure of each angle = 540°/5 = 108°

Hence the measure of each interior angle of the pentagon is 108°.

**Question 2 :**

Find the measure of one interior angle in each polygon.

**Solution :**

According to the formula, first let us count the number of sides of the polygon.

AB, BC, CD, DE, EF, FG, GH, HA total number of sides are 8.

Sum of interior angles of a polygon = (n - 2) x 180°

= (8 - 2) x 180°

= 6 x 180°

= 1080°

Measure of each angle = 1080°/8 = 135°

Hence the measure of each interior angle of the given polygon is 135°.

**Question 3 :**

Find the measure of one interior angle in each polygon.

**Solution :**

According to the formula, first let us count the number of sides of the polygon.

AB, BC, CD, DE, EF, FG, GH, HI, IJ, JK, KA total number of sides are 11 .

Sum of interior angles of a polygon = (n - 2) x 180°

= (11 - 2) x 180°

= 9 x 180°

= 1620°

Measure of each angle = 1620°/11 = 147° 3'

Hence the measure of each interior angle of the given 11 sided polygon is 147° 3'.

**Question 4 :**

Find the measure of one interior angle in each polygon.

**Solution :**

According to the formula, first let us count the number of sides of the polygon.

AB, BC, CD, DE, EF, FA total number of sides are 6.

Sum of interior angles of a polygon = (n - 2) x 180°

= (6 - 2) x 180°

= 4 x 180°

= 720°

Measure of each angle = 720°/6 = 120°

Hence the measure of each interior angle of the given 6 sided polygon is 120°.

After having gone through the stuff given above, we hope that the students would have understood "Interior angles of a polygon worksheet".

Apart from the stuff given above, if you want to know more about "Interior angles of a polygon worksheet", please click here

Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.

HTML Comment Box is loading comments...

**WORD PROBLEMS**

**HCF and LCM word problems**

**Word problems on simple equations **

**Word problems on linear equations **

**Word problems on quadratic equations**

**Area and perimeter word problems**

**Word problems on direct variation and inverse variation **

**Word problems on comparing rates**

**Converting customary units word problems **

**Converting metric units word problems**

**Word problems on simple interest**

**Word problems on compound interest**

**Word problems on types of angles **

**Complementary and supplementary angles word problems**

**Markup and markdown word problems **

**Word problems on mixed fractrions**

**One step equation word problems**

**Linear inequalities word problems**

**Ratio and proportion word problems**

**Word problems on sets and venn diagrams**

**Pythagorean theorem word problems**

**Percent of a number word problems**

**Word problems on constant speed**

**Word problems on average speed **

**Word problems on sum of the angles of a triangle is 180 degree**

**OTHER TOPICS **

**Time, speed and distance shortcuts**

**Ratio and proportion shortcuts**

**Domain and range of rational functions**

**Domain and range of rational functions with holes**

**Graphing rational functions with holes**

**Converting repeating decimals in to fractions**

**Decimal representation of rational numbers**

**Finding square root using long division**

**L.C.M method to solve time and work problems**

**Translating the word problems in to algebraic expressions**

**Remainder when 2 power 256 is divided by 17**

**Remainder when 17 power 23 is divided by 16**

**Sum of all three digit numbers divisible by 6**

**Sum of all three digit numbers divisible by 7**

**Sum of all three digit numbers divisible by 8**

**Sum of all three digit numbers formed using 1, 3, 4**

**Sum of all three four digit numbers formed with non zero digits**