Unequal angles are not opposite to vertex angles Is this proposition true? Give reasons
Set up
To the contrary:
If angle 1 = angle 2, they may be opposite vertex angles
Then 180 - Jiao 1 = 180 - Jiao 2 (the complements of the same angle are equal), Jiao 1 = Jiao 2, which is inconsistent with the proposition
So the proposition holds
In fact, this proposition is equivalent to "equal angle is opposite vertex"