Melissa cut two vertices off a triangle. What is the maximum amount the sum of the interior angles of the resulting shape will increase by? Show your work and explain your answer.

Question

shelby1290 · Answer

@ShadowLegendX can you please help me out with this question?

shadowlegendx · Answer

Not sure @shelby1290 :/

shelby1290 · Answer

lol okay np

anonymous · Answer

A triangles total angles add up to 180 so if two are cut off then the result is a line and angles increase to 180. If it was only one then the answer would be 90.

shelby1290 · Answer

so the max. would be 90 ? i'm a bit confused...

anonymous · Answer

Max is 180 as 2/3 vertices have been removed.

shelby1290 · Answer

@EllaRu what does 90 represent? 
180 divided by 2

shelby1290 · Answer

or..

anonymous · Answer

IF you ever deal with triangles in higher dimensions of space the angular maximums change up to 180, but in 2D space as you're dealing with the inner angles of a triangle can only total 180 in any event. I assume the question doesn't asks about 4D right? cause if it does the answer changes by imaginary number factors...

anonymous · Answer

In other words I've been writing too many proofs for quantum mathematics and put a 4D into the question automatically :)

shelby1290 · Answer

oh okay

shelby1290 · Answer

so...all i'll be writing down is that the max is 180 ? 
or is there calculations involved in order to get an answer

shelby1290 · Answer

since the question says to show my work

anonymous · Answer

Use the definition of a triangle from your book in order to explain it. It's just reasoning based on that information.

shelby1290 · Answer

i don't have my textbook with me...but i'll try googling it though

shelby1290 · Answer

would it be this? http://www.factmonster.com/ipka/A0876325.html

shelby1290 · Answer

^ for the definition of a triangle

anonymous · Answer

This is more helpful and can be interacted with to help answer future questions on the matter. http://www.mathopenref.com/triangleinternalangles.html

shelby1290 · Answer

alright so i'll just going to be writing everything that's underneath the diagram, right?

anonymous · Answer

The first two properties.

shelby1290 · Answer

okay

shelby1290 · Answer

so just the definition and that the max is 180 is all i need?

shelby1290 · Answer

well then, thank you!

shelby1290 · Answer

@EllaRu