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5‑pointed star with a pentagon in the interior and isosceles triangles connected to each of the sides. The interior angle of the pentagon is, c. The vertical angle of c, is b. The angle of each of the star points is, a. The angle of the triangle base is, d.The figure at right is a pentagram inscribed in a circle.  A pentagram is a ‑pointed star that has congruent angles at each of its outer vertices.  

  1. Use the fact that all pentagrams can be inscribed in a circle to calculate the measure of angle at right.

  2. What are the measures of angles and ?  Show your work.

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