Question

if the exterior angle of polygon is twice its interior and then the sum is 195 find the number of sides of the polygon​

Answer 1

Answer:

The sum of exterior angle and its adjacent interior is 180  

0

, that is,

e+i=180  

0

 

 

Since each interior angle is twice its adjacent exterior angle, therefore, substitute i=2e.

e+2e=180  

0

 

⇒3e=180  

0

 

⇒e=  

3

180  

0

 

​

=60  

0

 

We know that the measure of exterior angle is e=(  

n

360

​

)  

0

 where n is the number of sides.

Here, it is given that the exterior angle is e=60  

0

, therefore,  

n=  

e

360

​

=  

60

360

​

=6

Hence, the number of sides is 6.

Step-by-step explanation:

Answer 2

time to run the portion of the story of the story of the story of the story of the following statement on the same day is going to be a good friend of a rectangular plot