The diagram shows a convex polygon. What is the value of b? A. 360 B.148 C. 52 D. 128

Answer:
The answer to your question is letter D. 128°
Step-by-step explanation:
Process
1.- Find the angles inside the triangle
- The 82° angle and the one next to it are supplementary, then they measure 180°
82° + x = 180°
x = 180° - 82°
x = 98°
- The angle of 150° and the one next to it are also supplementary, then they measure 180°.
150° + x = 180°
x = 180 - 150°
x = 30°
- The sum of the internal angles in a triangle measures 180°
98° + 30° + z = 180°
z = 180° - 98° - 30°
z = 52°
- Angle z and angle b are supplementary, so
52° + b = 180
b = 180 - 52°
b = 128°