When I want to replace a content ending to e.g.">"; I replace "*>" with nothing

but if there is two > in the cell, it will deletes the content up to the second >; how I can delete the content to the first > only?

For example in the content

word1 word2 > word3 word 4 > word5 > word 6

how I can replace (or delete) only "word1 word2" ?