Explanation:
Angles PQS and SQR are complementary angles. This means that their measures add up 90º. This is:
[tex]m\angle PQS+m\angle SQR=90º[/tex][tex]55º+xº=90º[/tex]
We can solve this for x:
[tex]\begin{gathered} xº=90º-55º \\ x=35º \end{gathered}[/tex]
Answer:
x = 35º
