Two regular pentagons share a vertex. What’s the angle α?

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## Solution

The angle α is 36°.

## Poem

The pentagon is a figure with

5 sides and 5 angles

And also the headquarter of the american defense

It can be a figure so shelby

With 5 angles so sparkly

And a lot of 5 sides too

Five corners

Five lines

Pente in greek means five

I’m more bright than a triangle

I’m alive