Question

Which pair of angles are supplementary?

Answer 1

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

$m\angle RXZ+m\angle YXZ=180^o$ ---> by supplementary angles (form a linear pair)

Verify the other options

Option B) we have

<PXQ and <RXS

we know that

$m\angle PXQ+m\angle RXS$

The sum of two acute angles always is less than 180 degrees

Option C) we have

<YZX and <UZT

we know that

$m\angle YZX+m\angle UZT$

The sum of two acute angles always is less than 180 degrees

$m\angle YZX=m\angle UZT$ ---> 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

$m\angle WZX+m\angle XYZ$

The sum of two acute angles always is less than 180 degrees