It means 3 angles that can be found in a triangle.
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Apex in regards to geometry means the peak or the climax such as the top of a triangle. It is not a frequently used term, with the exception of a crossword clue.
If by sperical triangle you mean a triangle on the surface of a sphere, you will need 3 dimensional coordinate geometry. Whether you use polar coordinates or linear coordinates will depend on what you want to "solve".
In Euclidean plane geometry every triangle MUST BE coplanar.
yes
Pythagoras