surface

[iren.perch]

See attached file please.
In this polygon all sides are equal to 1 and α = 120◦ and β = 60◦. The remaining angles be either as an inner angle or as an outer angle equal to 150◦. What is the area of this polygon?
Can someone help me convert these angles to area?

 

[Deleted member 4993]

See attached file please.
In this polygon all sides are equal to 1 and α = 120◦ and β = 60◦. The remaining angles be either as an inner angle or as an outer angle equal to 150◦. What is the area of this polygon?
Can someone help me convert these angles to area?

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Please share your work/thoughts about this assignment.

 

[LCKurtz]

I would inscribe a rectangle (a square) around it. That gives lots of 30-60-90 triangles and rectangles on the outside of the figure. Calculate their area and subtract it from the area of the square.