I have attached a screen shot of the question. Please help explain answer. I will post Official Answer after explanations!
Let angle PQR be x, QPR be y and PRS be z.
Therefore angle QRP = 180 - z
in traingle PQR, sum of the angles is 180 = x + y + 180 - z
z -x = y
Question asks to find z -x
by condition 1
y = 30. Hence z - x = y = 30
by condition 2
x + 180 - z = 150
z - x = 30
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