Given:
[tex]m\angle PQS=90^\circ,m\angle PQR=57^\circ,m\angle RQS=x^\circ[/tex].
To find:
The value of x.
Solution:
From the given figure, it is clear that the angle PQS is a right angle.
[tex]m\angle PQS=m\angle PQR+m\angle RQS[/tex]
[tex]90^\circ=57^\circ+x^\circ[/tex]
[tex]90^\circ-57^\circ=x^\circ[/tex]
[tex]33^\circ=x^\circ[/tex]
Therefore, the value of x is 33 degrees.
