A proof is a mathematical statement that shows that a postulate is true. The statement that should appear in the box is:
Substitution Property of Equality
Given that:
[tex]\angle PQR = 17^o[/tex]
[tex]\angle RQS = 13^o[/tex]
Then, we have:
[tex]\angle PQS = \angle PQR + \angle RQS[/tex]
Substitute the values of PQR and RQS
[tex]\angle PQS = 17^o + 13^o[/tex]
Because the values of PQR and RQS are substituted to get: [tex]\angle PQS = 17^o + 13^o[/tex]
This means that the reason that should appear in the box is: Substitution Property of Equality
Read more about proofs at:
https://brainly.com/question/1949419