Answer: 23
Step-by-step explanation
There are a lot of angles here. Luckily we can ignore most of them.
The key angles to focus on are:
- WMR = 120°
- DMV = 120° (since WMR and DMV are vertical angles)
- VSC = 37°
- MVD = 37° (corresponding angle theorem)
Focus on triangle MVD. We found these two angles: M = 120, V = 37. The missing angle must add to those others to get 180.
M+V+D = 180
120+37+D = 180
157+D = 180
D = 180-157
D = 23
Check out the diagram below.