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jmc

prealgebra intermediate

Problem

Bob placed three regular pentagons together at a vertex, thinking he might be able to form a tessellation. However, they left a gap. What is the number of degrees in the measure indicated?
problem
Solution
The angles of a pentagon sum to degrees, so each angle of a regular pentagon is . Therefore, three of these angles sum to , which means the indicated angle measures .
Final answer
36^\circ