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Name: __________________________________________ Geometry A Polygon Investigation Questions 1. What is another name for a regular triangle? 2. What is another name for a regular quadrilateral? 3. What is the interior angle sum of a 60-gon? 4. What is the measure of one interior angle of a regular 60-gon? 5. Three angles of a quadrilateral measure 98 o, 75 o, 108 o. Find the measure of the fourth angle. 6. Each interior angle of a regular polygon measures 168 o. How many sides 7. In baseball, the home plate is shaped like the one shown. It has three right angles and two other congruent angles (A and B). Find mA and mB. A 8. 9. does the polygon have? B As the number of sides of a regular polygon increases, what happens to: a. the sum of the interior angles? b. the measure of each interior angle? c. the measure of each exterior angle? Each interior angle of a regular polygon measures 172 o. How many sides does the polygon have? 10. The four interior angles of a quadrilateral measure x-5, 3(x+8), 3x+6, and 5x-1. Find the measures of the four angles. 11. Is the sum of the interior angles of a convex polygon the same as a nonconvex polygon? Explain or show an example to justify your answer. Nonconvex polygon Convex polygon