Can I get some help with a few questions?

Question

zzr0ck3r · Answer

?

anonymous · Answer

One moment, need to screenshot!

anonymous · Answer

attachment

unklerhaukus · Answer

two angles are supplementary, iff they add to 180°

anonymous · Answer

Okay..

unklerhaukus · Answer

iff $\angle FEA$ is supplementary to $\angle HGD$
$$\text m\angle FEA+\text m\angle HGD = 180°$$

anonymous · Answer

Wait.. I don't understand...

unklerhaukus · Answer

consider the first option, does it agree?

anonymous · Answer

Yes?..

unklerhaukus · Answer

What is it that you don't understand?

anonymous · Answer

Just the overall question. It's weird.
It's not option A or B is what I'm getting so far, right?

unklerhaukus · Answer

(check carefully now)
Does:
$$\text m\angle FEA+\text m\angle HGD = 180°$$

agree with option one?

anonymous · Answer

It.. it's not 180, I think..?

unklerhaukus · Answer

I suppose the first thing you have to realize is that any angle, can only have one supplement  


so  iff ∠FEA is supplementary to ∠HGD

then effectively  A = C, B= D, E=G, F=H

unklerhaukus · Answer

there are only two angles to consider;
 the big one :   ∠FEB = ∠HGD
and the little angle : ∠FEA = ∠HGC

unklerhaukus · Answer

where any pair, of one big and one little angle, will always add to 180°,

anonymous · Answer

So A is not true, which makes it the right answer?

unklerhaukus · Answer

but why is A not true?

anonymous · Answer

Because the angles are too big, right?

unklerhaukus · Answer

yeah,
  big angle + big angle ≠ 180°

anonymous · Answer

Okay, I kinda get it...

anonymous · Answer

What about this problem?

unklerhaukus · Answer

(unless all the angles were exactly 90°, which doesn't fit the diagram )

unklerhaukus · Answer

[if i remember correctly]

alternate angles are equal, 
corresponding angles are equal,
vertically opposite angles are equal ,
&
co-interior angles are supplementary.

unklerhaukus · Answer

can you find the angles in the first option on the diagram?

unklerhaukus · Answer

|dw:1434794031396:dw|

anonymous · Answer

In the first one, they look equal to me.. unless I am not understanding this properly.

unklerhaukus · Answer

if they look equal (congruent),   are they 

alternate angles?
corresponding angles?
vertically opposite angles ?

anonymous · Answer

Alternate, I think..

unklerhaukus · Answer

u can't see any angles alternate to angle EIA

anonymous · Answer

So it's the first option, yes?

unklerhaukus · Answer

|dw:1434794616346:dw|

unklerhaukus · Answer

|dw:1434794679515:dw|

unklerhaukus · Answer

attachment

anonymous · Answer

Oh, so they're opposite angles?.. so they are congruent.