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jmc

prealgebra senior

Problem

A square and a regular heptagon are coplanar and share a common side , as shown. What is the degree measure of angle ? Express your answer as a common fraction.

problem
Solution
The measure of each interior angle in a regular -gon is degrees. Therefore, the measure of angle is degrees and the measure of angle is 90 degrees. Their difference, , measures
Final answer
\frac{270}7\text{ degrees}