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Omni-MATH / An equilateral hexagon with side length 1 has interior angles 90^(∘),120^(∘),150^(∘),90^(∘),120^(∘),150^(∘) in that order. Find its area.

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problem

An equilateral hexagon with side length 1 has interior angles 90∘,120∘,150∘,90∘,120∘,150∘90^{\circ}, 120^{\circ}, 150^{\circ}, 90^{\circ}, 120^{\circ}, 150^{\circ} in that order. Find its area.
Plain-text mathematical notation (without MathML)
An equilateral hexagon with side length 1 has interior angles 90^(∘),120^(∘),150^(∘),90^(∘),120^(∘),150^(∘) in that order. Find its area.
Original LaTeX notation
An equilateral hexagon with side length 1 has interior angles $90^{\circ}, 120^{\circ}, 150^{\circ}, 90^{\circ}, 120^{\circ}, 150^{\circ}$ in that order. Find its area.

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