irritated-looking; seeming annoyed; antsy
Describes someone's appearance or manner as visibly irritated, agitated, or on edge. Often used with verbs like 見える, 言う, or 様子.
He sighed in an irritated manner.
My friend, who was late for our meeting, looked irritated.
苛立つ is a verb meaning 'to get irritated' or 'to be annoyed'. 苛立たしげ focuses on the visible signs of that irritation.
Standard kanji spelling using 苛立たしい + げ.
Alternate kanji spelling using 気 for the げ suffix; less common but valid.
Derived from the adjective 苛立たしい (irritating) + the suffix げ (appearing, seeming). The base adjective comes from the verb 苛立つ (to be irritated).