#pentagon ?

25 messages · Page 1 of 1 (latest)

forest sapphire
deft rivetBOT
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forest sapphire
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sorry it's sideways

cerulean tundra
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Here you need to remember two things:

  1. The angle of a regular n-gon is 180(1 - 2/n)° (you've used this fact).
  2. A rhombus, being a parallelogram, has the sum of its adjacent angles equal to 180°.
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Interesting to call a rhombus a "slanted square", but not technically wrong, I guess 😅

forest sapphire
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so howdi get the x ?

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if idk the angle of the square

forest sapphire
cerulean tundra
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So, you know the obtuse angle of a rhombus. Now, using the second property from above, you can find the acute angle.

forest sapphire
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uve lost me

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so I do 108- smth ?

forest sapphire
cerulean tundra
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No.
First, let's denote some angles.

image.png
forest sapphire
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360-(108x2) n divide that by 2

cerulean tundra
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We can see the following:

  1. α = 108°, as already established.
  2. β = 180° - α, as per the property of parallelograms.
  3. x = 108° - β.
forest sapphire
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ohhokk

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is 36 the answer ?

cerulean tundra
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Yes, x = 36°.

forest sapphire
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ty

cerulean tundra
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You're welcome!

forest sapphire
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do I have to make another chat to ask another q ?

cerulean tundra
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Preferably, since that way the question stays on top for all people to see.