Answer:
Option A.) <RXZ and <YXZ
Step-by-step explanation:
we know that
Two angles are supplementary if their sum is equal to 180 degrees
In this problem
[tex]m\angle RXZ+m\angle YXZ=180^o[/tex] ---> by supplementary angles (form a linear pair)
Verify the other options
Option B) we have
<PXQ and <RXS
we know that
[tex]m\angle PXQ+m\angle RXS<180^o[/tex]
The sum of two acute angles always is less than 180 degrees
Option C) we have
<YZX and <UZT
we know that
[tex]m\angle YZX+m\angle UZT<180^o[/tex]
The sum of two acute angles always is less than 180 degrees
[tex]m\angle YZX=m\angle UZT[/tex] ---> by vertical angles
The only way they're supplementary is if they're right angles
Option D) we have
<WZX and <XYZ
we know that
[tex]m\angle WZX+m\angle XYZ<180^o[/tex]
The sum of two acute angles always is less than 180 degrees
