The molecule of iodine heptafluoride has a bi-pyramidal pentagonal shape. All of the F-I-F angles between two fluorine atoms in axial and equatorial planes are equivalent to 90 degrees. Therefore there is five of them.
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76 degrees
Exterior angles: 360 degrees Interior angles: 1620 degrees
This seems like a misprint. IF6 will have one electron too many to attain an octahedral structure with 90 degree bond angles. SF6 is octahedral, for example, and does have 90 degree angles, as does PF6(-1). Perhaps IF6(+1) is the molecule in question, which will have the proper number of electrons.
Exterior angles: 360 degrees Interior angles: 720 degrees
An isosceles triangle has interior angles of 180 degrees and exterior angles of 360 degrees