### Home > GC > Chapter 12 > Lesson 12.1.5 > Problem 12-47

12-47.

A regular pentagram is a 5-pointed star that has congruent angles at each of its outer vertices. Use the fact that all regular pentagrams can be inscribed in a circle to find the measure of angle *a* at right. Homework Help ✎

Find the measure of each of the intercepted arcs.

The degree measure of an inscribed angle is half the measure of the intercepted arc.

= 36°