Proof geometry flowchart proof

Question

Flow chart proof-

Given- XW= YZ XK> WK and KZ>KY

Prove: angle XWZ> Angle YZW

Shape looks like a parallelogram but it’s not it is split

in the middle like an X

Like this kinda

Y. X

K

Z W

Answer 1

Let XK=m, KZ = a, KY = b, and KW = n.

Then per the given, m>n and a>b

Adding these inequalities, m+a > n+b

However, m+a and n+b are the opposite sides of angles KWZ and YWZ

therefore, angle KWZ > angle YWZ because the measures of their corresponding opposite

sides are is greater, with one side given to be equal

end of proof