Answer
Verified
481.5k+ views
Hint: number of sides of a regular polygon are equal to number of exterior angles.
We have to find the total number of sides of a regular polygon if the exterior angle is ${24^\circ }$
Let the number of sides of the polygon be $n$
Now if the number of sides of a regular polygon is $n$ then the number of exterior angles will also be $n$ only.
Now in a regular polygon, each exterior angle are equal to one another and sum of exterior angle is ${360^\circ }$
So we can say that $n\theta = {360^\circ }$
$ \Rightarrow n = \frac{{{{360}^\circ }}}{\theta }$
Now $\theta = {24^\circ }$ Given in question
Hence $n = \frac{{{{360}^\circ }}}{{{{24}^\circ }}} = 15$
Note- Always remember while solving such problem statements that all the exterior angles of a regular polygon are equal and its sum is equal to${360^\circ }$. This concept will help you reach the right solution.
We have to find the total number of sides of a regular polygon if the exterior angle is ${24^\circ }$
Let the number of sides of the polygon be $n$
Now if the number of sides of a regular polygon is $n$ then the number of exterior angles will also be $n$ only.
Now in a regular polygon, each exterior angle are equal to one another and sum of exterior angle is ${360^\circ }$
So we can say that $n\theta = {360^\circ }$
$ \Rightarrow n = \frac{{{{360}^\circ }}}{\theta }$
Now $\theta = {24^\circ }$ Given in question
Hence $n = \frac{{{{360}^\circ }}}{{{{24}^\circ }}} = 15$
Note- Always remember while solving such problem statements that all the exterior angles of a regular polygon are equal and its sum is equal to${360^\circ }$. This concept will help you reach the right solution.
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
Mark and label the given geoinformation on the outline class 11 social science CBSE
When people say No pun intended what does that mea class 8 english CBSE
Name the states which share their boundary with Indias class 9 social science CBSE
Give an account of the Northern Plains of India class 9 social science CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
In Indian rupees 1 trillion is equal to how many c class 8 maths CBSE
Which are the Top 10 Largest Countries of the World?
How do you graph the function fx 4x class 9 maths CBSE
Give 10 examples for herbs , shrubs , climbers , creepers
Difference Between Plant Cell and Animal Cell
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Why is there a time difference of about 5 hours between class 10 social science CBSE