corner of the eye
Refers to the outer or inner corner of the eye. Often used in phrases like 目角が下がる (to look pleased) or 目角を立てる (to glare).
I'm so happy that the corners of my eyes droop involuntarily.
彼は怒って目角を立てて睨んだ。
He glared with the corners of his eyes raised in anger.
Compound of 目 (eye) and 角 (corner). The reading めかど is a straightforward combination of the kun'yomi readings of the two kanji.