Question

Find the measure of x. Line PU has points R and S between points P and U, lines QR and ST are parallel, line QR intersects line PU at point R, line ST intersects line PU at point S, the measure of angle PRQ is 150, and the measure of angle UST is 15 ( x plus 1 ). x = 1 x = 9 x = 10 x = 11

Answer 1

Answer:

(A)x = 1

Step-by-step explanation:

The diagram has been drawn and attached below:

Given: QR//ST and UST=5(x+1)

$\angle QRU =\angle UST =15(x+1) (Corresponding Angles)\\\angle PRQ+ \angle QRU =180^\circ\\150^\circ + 15(x+1)=180^\circ\\15(x+1)=180^\circ-150^\circ\\15(x+1)=30^\circ\\15x+15=30^\circ\\15x=30^\circ-15^\circ\\15x=15^\circ\\ Divide both sides by 15\\x=1$