angle REC and angle BIG are added togehter to create 180 degrees, what is the reson for this?

Question

angle REC and angle BIG added together equal 180 degrees, what is the reson (postulate, definition, or theorem) for this?

Answer 1

Angles whose sum is 180 degrees are called supplementary angles.

Answer 2

Actually the terms are: Sum | Term ------------------- 90 | Complementary ------------------- 180 | Supplementary ------------------- 360 | Conjugate

Answer 3

The angles are added together to form a straight line.  Euclid's prop 13 theorem  When a straight line that stands on another straight line makes two angles, either it makes two right angles, or it makes angles that together are equal to two right angles.

Answer 4

so what i think your looking for is what that is called. its called complementary angles. which means any two angles that can be added together to equal 180 degrees. not sure if that helped you any, but i hope it did.

Answer 5

This question is worded a little funny, I agree with the other tutor’s post.

Definition Supplementary Angles: two angles when added together total 180 degrees

There is not a way for me to sketch in this post so I will try to be specific with my wording.

If you have angle REC, then E is the center of this angle with segments ER and EC.

Angle BIG would similarly have a center at I, with segments IB and IG.

If you are to put the segments EC and IB right next to each other you should now be able to see that you will have a straight line (180 degrees) connecting R to G.

 

Answer 6

I can't quite make sure that I picture twe image correctly, but normally supplemental angles add up to 180 degrees. It is a definition of supplemental angles, even though there might be a postulate about it.