Consider the angles of a regular polygon. 120, (3x+5), (x), 45, 135, (x-45), and (5x) degrees. what is the value of x?

The value of x is 41.19

Step-by-step explanation:

Given as for a regular polygon :

The angles of polygon are as

120° , (3x+5)° , x° , 45° , 135° , (x-45) , 5x°

∵ The numbers of angles of polygon are 7 ,

∴ The sides of polygon are 7

Now, each internal angle of regular polygon is with n sides  

180°  -

So, Let  (3x+5)° = 180°  -

or,         (3x+5)° = 180°  -

Or,        (3x+5)° = 180°  - 51.42°

Or,        (3x+5)° = 128.58°

Or,        3x = 128.58° - 5° = 123.58°

∴             x = = 41.19

Hence The value of x is 41.19   Answer

what is

step-by-step explanation: