1 Corinthians 11:10

Therefore the woman ought to have a sign of authority on her head, for the sake of the angels [so as not to offend them].

Genesis 20:16

Then to Sarah he said, “Look, I have given this brother of yours a thousand pieces of silver; it is to compensate you [for all that has happened] and to vindicate your honor before all who are with you; before all men you are cleared and compensated.”

Genesis 24:64-65

Rebekah also raised her eyes and looked, and when she saw Isaac, she dismounted from her camel.

Matthew 18:10

“See that you do not despise or think less of one of these little ones, for I say to you that their angels in heaven [are in the presence of and] continually look upon the face of My Father who is in heaven.

Hebrews 1:14

Are not all the angels ministering spirits sent out [by God] to serve (accompany, protect) those who will inherit salvation? [Of course they are!]

Ecclesiastes 5:6

Do not allow your speech to cause you to sin, and do not say before the messenger (priest) of God that it was a mistake. Why should God be angry because of your voice (words) and destroy the work of your hands?

Treasury of Scripture Knowledge

Summary

For this cause ought the woman to have power on her head because of the angels.

Bible References

Power

Genesis 20:16
Then to Sarah he said, “Look, I have given this brother of yours a thousand pieces of silver; it is to compensate you [for all that has happened] and to vindicate your honor before all who are with you; before all men you are cleared and compensated.”
Genesis 24:64
Rebekah also raised her eyes and looked, and when she saw Isaac, she dismounted from her camel.

Because

Ecclesiastes 5:6
Do not allow your speech to cause you to sin, and do not say before the messenger (priest) of God that it was a mistake. Why should God be angry because of your voice (words) and destroy the work of your hands?
Matthew 18:10
“See that you do not despise or think less of one of these little ones, for I say to you that their angels in heaven [are in the presence of and] continually look upon the face of My Father who is in heaven.
Hebrews 1:14
Are not all the angels ministering spirits sent out [by God] to serve (accompany, protect) those who will inherit salvation? [Of course they are!]