Question

1. Write a two-column proof for the following conjecture. Given: Parallelogram ABCD? Prove: <A and <B are supplementary <B and <C STATEMENT REASON PLEASE HELP

Answer 1

(see below)

Explanation:

Given `ABCD` is a parallelogram.
#{: ((bar(AB) |\| bar(CD)), color(white)("XX") | color(white)("XX"),"definition of parallelogram"), (/_A+/_B="straight line",color(white)("XX")|color(white)("XX"),"Euclid's Fifth Postulate"), (/_A " and "/_B " are supplementary",color(white)("XX")|color(white)("XX"),"definition of supplementary") :}#
Similarly for `/_B " and " /_C`

Note: Euclid's Fifth Postulate is a defining characteristic of Euclidean space.