For the Ancho Simple Syrup, mix sugar, water and ancho chile pepper in small saucepan. Bring to boil. Reduce heat to medium-low; simmer 5 minutes. Remove from heat. Let stand 2 hours. Strain through double layer of cheesecloth or coffee filter. Cover and refrigerate until well chilled. (This makes enough syrup for 4 batches of Beergaritas.)
For the Beergaritas, place frozen margarita mix, strawberries, ice, tequila and Ancho Simple Syrup in blender container; cover. Blend on medium-high speed until smooth. Slowly add beer; mix gently. Serve immediately in beverage glasses.