Question

PLEASE GEOMETRY HELP : can someone please explain to me how to do this and get the right answer. Attacehd file

Answer 1

well first you knowthe sum of a polygon's exterior angles = 180 degrees

Answer 2

yes

Answer 3

so add up the exterior angles and you get an equation like this ......
14x+6+6x-3+4x+8+ 3x+30+49=180

Answer 4

now simplify it

Answer 5

i got 2.64705882 -___-

Answer 6

@mangalover15

Answer 7

should be 17 degrees

Answer 8

and x=3.33333.... so just substitude the x's and check to see the answer is correct

Answer 9

wait so i substitute x with 17?

Answer 10

@mangalover15

Answer 11

hello?

Answer 12

i got 99 when i plugged in17 and i got 16.8 when i plugged in 3.3 which one is the answer?

Answer 13

sorry had to reply to someone.....substitude x for 3.33333

Answer 14

so 16.8 ? how is it a decmial

Answer 15

okay so divide 90/27....what do you get?

Answer 16

3.333333333333

Answer 17

okay so keep that exact number and multiply it by 6 then subtract 3 from it

Answer 18

so 17

Answer 19

yup you got it right!

Answer 20

thank you

Answer 21

no prob

Answer 22

can you help me with one more please @mangalover15

The measures of each exterior angle in a regular hexagon is (4x + 15)°. Find the value of x rounded to the nearest hundredth.

Answer 23

so how many angles does it have?

Answer 24

6

Answer 25

okay so 6(4x+15)=180 would be your equation

Answer 26

then solve for x

Answer 27

so 3.75?

Answer 28

yup

Answer 29

thats the answer? hows it a decmial

Answer 30

well x is gonna be a decimal it told you to round to the nearest hundredth place right?

Answer 31

true so rounding it would be just 3.75?

Answer 32

yup

Answer 33

i got both answers wrong

Answer 34

First find out the interior angles of this polygon with n sides

Angle A = 180-(6x-3)
Angle B = 180-(4x+8)
Angle C= 180- (49)= 131
Angle D= 180-(3x+30)
Angle E= 180-(14x+ 6)

Formula for sum of interior angles of a polygon with n sides = (n-2)x 180
                                                                                                                       (5-2)x180=540

Now adding all interior angles equals 540

180-(6x-3) + 180-(4x+8)+131+180-(3x+30)+180-(14x+6)= 540
Solving for x we get x=  10

Hence exterior angle A = 6x 10 -3 = 57 degrees

Answer 35

I hope you got this answer