Question

How do I determine x for this pentagon? The angles are x, 1.5x, 1.5x, x,x

Answer 1

first find the sum of interior angles of a pentagon by using the formula (n-2) * 180

Answer 2

oh ok ill try that

Answer 3

would the anwser be -90?

Answer 4

nope

Answer 5

(5-2) * 180 = 3 * 180 = 540

x + 1.5x + 1.5x + x +x = 540

Answer 6

collect like terms and solve for x

Answer 7

i forgot to add 1.5 and 1.5 together... T-T

Answer 8

6x = 540

x = 90

Answer 9

i asked my father and he doesnt even understand... i dont quite understand...

Answer 10

Which part do you not understand?

Answer 11

well... all of it...

Answer 12

What is the formula for finding the sum of all interior angles for an n sided shape?

Answer 13

s=(n-2)180

Answer 14

Good!
so what is the sum of all interior angles for a pentagon, which is a 5-side shape?

Answer 15

thats where i am a little hasey

Answer 16

Let's do this slowly.
Plug in 5 as n

Answer 17

ok

Answer 18

then multiply it by 180 and you get 540?

Answer 19

yes

Answer 20

HAHA FINALLY!!!

Answer 21

Given that Tthe angles are x, 1.5x, 1.5x, x,x

Answer 22

sum of these angles is also equal to 540

Answer 23

so all of the angles added together = 540?

Answer 24

yes

Answer 25

i drew an image of the shape would you want to see?

Answer 26

sure, but it's not required

Answer 27

oh ok

Answer 28

then i wont

Answer 29

ok so do you understand it much better?

Answer 30

sort of.. in class my teacher saud something about subtracting the sum with 180

Answer 31

subtracting 180 is for triangles, which is a 3-sided shape

Answer 32

oh ok... thank you for taking your time and explaining this to me...

Answer 33

no problem