Because the last common ancestor of all plant life evolved chlorophyll, a green pigmented organelle that converts light to chemical energy the cell can use. Since not all light photons have the same energy, some are reflected rather than absorbed and used, and these reflected photons are predominantly in the green wavelength.
Fun fact, if the predominant light wavelength that reached ground level was a different colour, a similar evolutionary pathway would have created different colour chlorophyll. The light that reaches ground level has higher levels of yellow light, so chlorophyll became green. If the light had been predominantly red, chlorophyll would have been purple.
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