Answer: PQS = 60
Step-by-step explanation:
Okay so when parallel lines are cut by a transversal (the 3rd line) angles on either side of the transversal will be supplementary meaning that the angles add up to 180 degrees.
So to find the value of PQS we need to find x first. we know that PQS and QXY are supplementary so
180 = (4x+40)+(2x-10) now we solve
180 = 6x +30
-30 -30
150 = 6x
150/6 = x
x= 25
now that we found the value of x plug in into the value of PQS for the final answer so
4x-40 = PQS
4(25) - 40 = PQS
100-40 =PQS
PQS = 60
