Respuesta :
Answer:
(A)x = 1
Step-by-step explanation:
The diagram has been drawn and attached below:
Given: QR//ST and UST=5(x+1)
[tex]\angle QRU =\angle UST =15(x+1) $(Corresponding Angles)\\\angle PRQ+ \angle QRU =180^\circ\\150^\circ + 15(x+1)=180^\circ\\15(x+1)=180^\circ-150^\circ\\15(x+1)=30^\circ\\15x+15=30^\circ\\15x=30^\circ-15^\circ\\15x=15^\circ\\$Divide both sides by 15\\x=1[/tex]
