Answer:
[tex]\angle R=80\textdegree[/tex]
Step-by-step explanation:
[tex]\angle T=113\textdegree,\ \angle S=90\textdegree,\ \angle Q=6x+11, \angle R=3+7x[/tex]
Sum of the four angle of the quadrilateral is [tex]360\textdegree[/tex].
[tex]113+90+6x+11+3+7x=360\\\\13x+217=360\\\\13x=143\\\\x=11[/tex]
[tex]\angle R=3+7x\\\\\angle R=3+7\times 11\\\\\angle R=3+77\\\\\angle R=80\textdegree[/tex]
