Answer:
∠W = 81°
Step-by-step explanation:
Triangle OGD is isosceles, so angle OGD has the same measure as angle ODG, 17°.
Triangle OGF is isosceles, so angle OGF has the same measure as angle OFG, 49°.
Angle DGF is the difference between angle OGF and angle OGD:
∠DGF = 49° -17° = 32°
External angle W is equal to the sum of remote internal angles DGF and OFG:
∠W = 32° +49°
∠W = 81°
