The diagram shows a convex polygon. what is the value of b? a. 360 b.148 c. 52 d. 128

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°

i need more details sorry

step-by-step explanation: