很 + 高兴 + 能 + Verb Phrase
高兴 (gāoxìng) means "to be happy" or "to be glad." When used as a verb, it expresses the feeling of joy or pleasure about a situation. It is commonly followed by 能 (néng) plus a verb phrase to express happiness about being able to do something.
我很高兴能认识你。
Wǒ hěn gāoxìng néng rènshi nǐ.
I'm very happy to be able to meet you.
听到这个好消息,她高兴得跳了起来。
Tīng dào zhège hǎo xiāoxi, tā gāoxìng de tiào le qǐlái.
Upon hearing the good news, she was so happy that she jumped up.
我们都高兴能参加你的婚礼。
Wǒmen dōu gāoxìng néng cānjiā nǐ de hūnlǐ.
We are all happy to be able to attend your wedding.