Ask your own question, for FREE!
Mathematics 13 Online
OpenStudy (anonymous):

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

OpenStudy (anonymous):

OpenStudy (anonymous):

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

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

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

OpenStudy (anonymous):

now simplify it

OpenStudy (anonymous):

i got 2.64705882 -___-

OpenStudy (anonymous):

@mangalover15

OpenStudy (anonymous):

should be 17 degrees

OpenStudy (anonymous):

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

OpenStudy (anonymous):

wait so i substitute x with 17?

OpenStudy (anonymous):

@mangalover15

OpenStudy (anonymous):

hello?

OpenStudy (anonymous):

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

OpenStudy (anonymous):

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

OpenStudy (anonymous):

so 16.8 ? how is it a decmial

OpenStudy (anonymous):

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

OpenStudy (anonymous):

3.333333333333

OpenStudy (anonymous):

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

OpenStudy (anonymous):

so 17

OpenStudy (anonymous):

yup you got it right!

OpenStudy (anonymous):

thank you

OpenStudy (anonymous):

no prob

OpenStudy (anonymous):

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.

OpenStudy (anonymous):

so how many angles does it have?

OpenStudy (anonymous):

6

OpenStudy (anonymous):

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

OpenStudy (anonymous):

then solve for x

OpenStudy (anonymous):

so 3.75?

OpenStudy (anonymous):

yup

OpenStudy (anonymous):

thats the answer? hows it a decmial

OpenStudy (anonymous):

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

OpenStudy (anonymous):

true so rounding it would be just 3.75?

OpenStudy (anonymous):

yup

OpenStudy (anonymous):

i got both answers wrong

OpenStudy (anonymous):

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

OpenStudy (anonymous):

I hope you got this answer

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!