The figure shown consists of a shaded regular 11-sided polygon and 11 unshaded isosceles triangles surrounding it. For each isosceles triangle, the longest side is a side of the shaded polygon, and the two equal sides are formed by extending the two adjacent sides of the polygon. At each vertex, the two extended sides form a vertex angle labeled b°, as shown in the diagram. What is the value of b?

Questão

The figure shown consists of a shaded regular 11-sided polygon and 11 unshaded isosceles triangles surrounding it. For each isosceles triangle, the longest side is a side of the shaded polygon, and the two equal sides are formed by extending the two adjacent sides of the polygon. At each vertex, the two extended sides form a vertex angle labeled b°, as shown in the diagram.

What is the value of b?

Alternativas

A

147°

B

160°

C

165°

D

120°

E

140°

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