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In a sentence like:
我很高兴 (wǒ hěn gāoxìng)
two 3rd tones are in a row. So according to 3rd tone sandhi, it must be pronounced
wó hěn gāoxìng
On the other hand, a 3rd tone (hěn) is followed by a non 3rd tone, so it must be pronounced half 3rd tone. By putting these two rules together we get:
wó hěn(half-3rd) gāoxìng
Is this method of combing two tone rules correct?
Yes,
我很高兴 (wǒ hěn gāoxìng) in Mandarin Chinese is pronounced in the following tones:
2nd-(half)3rd-1st-4th
It's exactly as you wrote. Well done!
About tone sandhi, you can find a very simple explanation in Chinese at the following link:
