politely

She politely asked the waiter for another glass of water and thanked him.

(Chinese) 她有礼貌地向服务员又要了一杯水，并向他道谢。

He declined the invitation politely, explaining that he already had other plans.

(Chinese) 他礼貌地拒绝了邀请，解释说他已经有了其他计划。