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How many lines of symmetry does a regular decagon have?

    ##10## in the plane, ##11## if you count the perpendicular axis through the centre.

    A regular decagon has ##5## lines of symmetry that go through opposite vertices and ##5## lines of symmetry that go through the midpoints of opposite sides.

    There is also a line of symmetry perpendicular to the plane that passes through the centre of the decagon.