abigabaasiimwe
abigabaasiimwe abigabaasiimwe
  • 22-09-2021
  • Mathematics
contestada

The interior angle of a regular polygon is 162 degrees. how many sides does the polygon have. Show the working​

Respuesta :

Hi1315
Hi1315 Hi1315
  • 22-09-2021

Answer:

20 sides

Step-by-step explanation:

Interior angle + exterior angle= 180

So,

let the unknown exterior angle be x

[tex]162 + x = 180\\x = 180-162\\x = 18 \degree\\[/tex]

Now,

360 / size  of    the exterior    angle = number of sides of the polygon

                                                            [tex]=\frac{360}{18} \\=20 sides[/tex]

hope this helps you

please let me know if you have another questions :-)

Answer Link

Otras preguntas

if you're planning to drink, you should?
What's 64 divided by 0.4
7x+8(x+1/4)=3(6x-9)-8
A line passes through the point −10,9 and has a slope of 12 . Write an equation in slope-intercept form for this line.
What document marked the end of france as a power in north America? A) Treaty of London B) Treaty of Paris C) Treaty of the Ohio River valley D) Treaty of F
if you're planning to drink, you should?
to select a new theme for a slideshow use the blank tile in the ribbon
one effect of uncontrolled diabetes is that the blood might develop an acidic ph. As a result, cells may not be able to regulate their internal pH. Within these
Does 'Balance of Power' prevent war or promote war?What is your opinion?
How long is the image of a metrestick formed by a plane mirror?