Step-by-step explanation:
take ∆PRT
angle prt = 30°(||sides, traversal, opp angles)
angle ptr = 45+y(|| sides, opp angles)
x+30+45+y = 180
x+y = 180-75= 105
x= 105-y
take triangle zrt
angle zrt =30(parallel sides and traversal with opp angles)
angle ztr = y(parallel lines)
30+y+w = 180
w = 150-y
angle pzt+azr = 360-300+2y=60+2y
pzt= 30+y
triangle pza
30+y + 45+30= 180
y = 180-105=75
w = 75
x=30
