Question

Which pair of angles are supplementary?

A.)<RXZ and <YXZ
B.)<PXQ and <RXS
C.)<YZX and <UZT
D.)<WZX and <XYZ​

Answer 1

option a

Explanation:

Answer 2

Option A.) <RXZ and <YXZ

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<180^o`

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<180^o`

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<180^o`

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