WXYZ is an inscribed quadrilateral whose diagonals intersect at K. Segment WX is parallel to segment ZY, as shown below.

Prove that if angle ZYW is 30° and angle ZWY is 20°, then angle WZX is 100°. Write a two-column proof showing statements and reasons.

Question

WXYZ is an inscribed quadrilateral whose diagonals intersect at K. Segment WX is parallel to segment ZY, as shown below. 
 
 
 
Prove that if angle ZYW is 30° and angle ZWY is 20°, then angle WZX is 100°. Write a two-column proof showing statements and reasons.

anonymous · Answer

attachment

anonymous · Answer

@RadEn @xozombie @Xmoses1 @trumpetmaster7777 @him1618 @LaShaun97

anonymous · Answer

@Xmoses1 PLEASE HELPP!

xmoses1 · Answer

does it mean in paragraph form or just two lines?

anonymous · Answer

2 colum, statement & justification

xmoses1 · Answer

hhmm ok

xmoses1 · Answer

@RadEn what do you think? i am not too familiar with this

xmoses1 · Answer

The two crossing line form perpendicular lines. Would it have anything to so with the vertical angles theorem?

raden · Answer

i saw the angle of <WZX is an acute angle, so it cant be 100 deg, right ?

xmoses1 · Answer

Thats what it looks like to me. It would be easier if the angle we were trying to prove was complimentary

xmoses1 · Answer

It is also not a regular polygon

anonymous · Answer

I'm very confused lol

xmoses1 · Answer

ZY and WX are parallel so we know that the alternate interior angles should be the same

anonymous · Answer

yes, so then you go on from there lol

xmoses1 · Answer

Oh haha i forgot that was a given. lol

anonymous · Answer

yes, so we have
ZY and WX are parallel---given

xmoses1 · Answer

Segment WX is parallel to segment ZY, given
Alternate interiors are=, def of alt int
There for, angle Y and angle Z are complimentary, def of supp angles

xmoses1 · Answer

I just dont see how angle WZX=100 becuase then you would have a 220 degree triangle, and im pretty sure you cant do that lol

anonymous · Answer

EXACTLYY>

anonymous · Answer

I'm confused,

xmoses1 · Answer

lol i am stumped sorry:/

anonymous · Answer

Can you tag ppl?

anonymous · Answer

Segment WX is parallel to segment ZY------GIVEN

If angle ZYW is 30° and angle ZWY is 20°, then angle WZX is 100°----------CONDITIONAL STATEMENT
(What I have so far)

anonymous · Answer

@trumpetmaster7777 help?

xmoses1 · Answer

@phi,@robtobey,@hba

xmoses1 · Answer

@rosedewittbukater

xmoses1 · Answer

@hba

xmoses1 · Answer

Maybe they can help:)

xmoses1 · Answer

@jim_thompson5910

jim_thompson5910 · Answer

first draw it out

|dw:1369427947529:dw|

jim_thompson5910 · Answer

since these two lines here

|dw:1369428080775:dw|

are parallel, this means that these two angles here

|dw:1369428101113:dw|

are alternate interior angles that are congruent