Supplementary angles are two angles that add up to [tex]180^o[/tex]. The reason for statement 2 is Linear Pair Postulate.
From the given figure, we can see that:
- [tex]\angle PQS[/tex] and [tex]\angle SQR[/tex] are on a straight line
- They both add up to [tex]180^o[/tex]
When two angles have the above features, the two angles are said to be linear pairs, and they are supplementary.
Hence, the statement that complete the proof is (d) Linear Pair Postulate
Read more about linear pair postulates at:
https://brainly.com/question/19246011