Math, asked by adityapatraap790, 4 days ago

If each exterior angle of aregular polygon has a measure of x then how many sides does then polygon has

Answers

Answered by sowdhanyakumarreddy
0

Answer:

We will use the formula Number of sides ×

Measure of each exterior angle =360∘

Step-by-step explanation:

KNOW MORE

filledbookmark

USE APP

Sign in

Questions & Answers

CBSE

Mathematics

Grade 9

Sum of the Measures of the Exterior...

Question

Answers

Related Questions

Find the number of sides of a regular polygon whose each exterior angle has a measure of

(i) 60∘

(ii) 72∘

.

Answer

VerifiedVerified

81k+ views

9.7k+ likes

Hint: We will use the fact that the sum of the exterior angles of a polygon is 360∘

. We will substitute the given measures of angles in the formula and solve it further to get the required number of sides. A polygon is of different shapes made of straight lines and can be drawn on paper.

Formula used:

We will use the formula Number of sides ×

Measure of each exterior angle =360∘

.

Complete step-by-step answer:

Let the number of sides of the polygon be n

. It is given that the measure of each exterior angle of the polygon is 60∘

.

Using the formula, Number of sides ×

Measure of each exterior angle=360∘

, we get

n×60∘=360∘

Dividing both sides by 60∘

, we get

⇒n×60∘60∘=360∘60∘

⇒n=6

∴ The number of sides of a polygon with each exterior angle 60∘

is 6.

Let the number of sides of the polygon be n

. It is given that the measure of each exterior angle of the polygon is 72∘

.

Using the formula, Number of sides ×

Measure of each exterior angle=360∘

, we get

n×72∘=360∘

Dividing both sides by 72∘

, we get

⇒n×72∘72∘=360∘72∘

Thus, we get

n=5

∴ The number of sides of a polygon with each exterior angle 72∘

is 5.

Similar questions