anonymous
  • anonymous
How do I determine x for this pentagon? The angles are x, 1.5x, 1.5x, x,x
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
first find the sum of interior angles of a pentagon by using the formula (n-2) * 180
anonymous
  • anonymous
oh ok ill try that
anonymous
  • anonymous
would the anwser be -90?

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anonymous
  • anonymous
nope
anonymous
  • anonymous
(5-2) * 180 = 3 * 180 = 540 x + 1.5x + 1.5x + x +x = 540
anonymous
  • anonymous
collect like terms and solve for x
anonymous
  • anonymous
i forgot to add 1.5 and 1.5 together... T-T
anonymous
  • anonymous
6x = 540 x = 90
anonymous
  • anonymous
i asked my father and he doesnt even understand... i dont quite understand...
anonymous
  • anonymous
Which part do you not understand?
anonymous
  • anonymous
well... all of it...
anonymous
  • anonymous
What is the formula for finding the sum of all interior angles for an n sided shape?
anonymous
  • anonymous
s=(n-2)180
anonymous
  • anonymous
Good! so what is the sum of all interior angles for a pentagon, which is a 5-side shape?
anonymous
  • anonymous
thats where i am a little hasey
anonymous
  • anonymous
Let's do this slowly. Plug in 5 as n
anonymous
  • anonymous
ok
anonymous
  • anonymous
then multiply it by 180 and you get 540?
anonymous
  • anonymous
yes
anonymous
  • anonymous
HAHA FINALLY!!!
anonymous
  • anonymous
Given that Tthe angles are x, 1.5x, 1.5x, x,x
anonymous
  • anonymous
sum of these angles is also equal to 540
anonymous
  • anonymous
so all of the angles added together = 540?
anonymous
  • anonymous
yes
anonymous
  • anonymous
i drew an image of the shape would you want to see?
anonymous
  • anonymous
sure, but it's not required
anonymous
  • anonymous
oh ok
anonymous
  • anonymous
then i wont
anonymous
  • anonymous
ok so do you understand it much better?
anonymous
  • anonymous
sort of.. in class my teacher saud something about subtracting the sum with 180
anonymous
  • anonymous
subtracting 180 is for triangles, which is a 3-sided shape
anonymous
  • anonymous
oh ok... thank you for taking your time and explaining this to me...
anonymous
  • anonymous
no problem

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