Assuming NR=110° is the arc ⌔NR so ∠NOR=110° (a)
ΔOR and ON are radii so ΔNOR is isosceles therefore ∠ONR=∠ORN=(180-110)/2=35°=∠QNP (b)
∠MNP=180-35=145° and ∠M=180-(145+25)=15° (angles in ΔMNP) (c)
∠MPQ=90+25=115° so ∠Q=180-(115+15)=50° (angles in ΔMPQ) (d)
∠ROP=180-110=70° (e)