Generally speaking, this conclusion is not valid. For example, a = 90 and b = 150, these two conclusions can be overturned.

However, in the triangle, these two propositions are true, (I guess you must be confused here, too)

Because in a triangle, the big side faces the big corner, and the big corner faces the big side;

So:

① Sina & gtSinB, according to sine theorem, a/sinA=b/sinB=2R.

So a = 2RSina >; 2RsinB=b

Then, from "big side to big angle", we get: a >；; B

(2) It can be inferred from (1) in turn.

If you are satisfied, please accept my answer.

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