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

The diagram shows a convex polygon. What is the value of b? A. 360 B.148 C. 52 D. 128-example-1

1 Answer

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Answer:

The answer to your question is letter D. 128°

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°

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