Each side of the motor cortex in the brain supplies the facial nerve nucleus in the lower part of the pons with the upper motor neurons of the facial nerve.
To be more specific, the facial nerve nucleus has an upper half and a lower half, and both sides of The motor cortex supply the upper half of the facial nerve nucleus.
Whereas the lower part of the facial nerve nucleus is supplied by upper motor neuron fibres from the contralateral
side of the cortex.
To revise:
The upper half is supplied by motor neurons from both sides of the motor cortex (upper motor neuron fibres).
The lower half of the facial nerve nucleus is supplied from the contralateral side of the cortex by upper motor neuron fibres.
From the facial nerve nucleus, the upper part of it supplies the upper part of the face (same side), and the lower part supplies
lower part of the face (same side) by lower motor neuron fibres
which means that if there is an upper motor neuron lesion on the left side of the brain, the lower part of the facial
The nerve nucleus on the other side (right side) will be affected, as it supplies the lower part of the right
face, then it’s the part that will be affected, and the patient won't be able to move the lower right side of the face.
Why wasn’t the upper side of the face affected too? Because it is double supplied by the upper motor neuron from the
other half of the motor cortex as well.
What if there is a lower motor neuron lesion on the right side? then the whole right side of the face will be affected.
as the lower motor neurons, which arise from the facial nerve neucleus, and the upper half of the facial nerve nucleus.
supply the upper half of the face and the lower half of the face
So in an upper motor neuron lesion located above the facial nerve nucleus, the problem was found.
Supra-nuclear (motor cortex)

https://www.ncbi.nlm.nih.gov/books/NBK537305/#:~:text=UMN%20lesions%20are%20design ated%20as,the%20upper%20motor%20neuron%20syndrome.
https://www.cambridge.org/core/books/abs/neurologic-differential-diagnosis/facial-nerve- palsy/AA50E8E03BADD919327C7228A2D37F61
https://www.ncbi.nlm.nih.gov/books/NBK526119/#:~:text=The%20upper%20motor%20neuron
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