What set of hybrid orbitals is used by S in SF4? What are the ideal F–S–F bond angles?  I dont get these ones

Chemistry: Principles and Practice
3rd Edition
ISBN:9780534420123
Author:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward Mercer
Publisher:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward Mercer
Chapter10: Molecular Structure And Bonding Theories
Section: Chapter Questions
Problem 10.14QE: Identify the hybrid orbitals used by antimony in SbCl5 and in SbCl6, the ion formed from the...
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What set of hybrid orbitals is used by S in SF4? What are the ideal F–S–F bond angles?  I dont get these ones

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would the ideal angles not be 120 and and 180 before the lone pair cheanges them to 102 and 173?

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