A Study of Dulaglutide (LY2189265) 3.0 mg and 4.5 mg in Pediatric Participants With Type 2 Diabetes Mellitus (AWARD-PEDS PLUS)

Inclusion Criteria: * Have Type 2 diabetes treated with diet and exercise and metformin and/or basal insulin. Metformin and/or basal insulin dose must be stable for at least 8 weeks prior to screening. * Have a body weight ≥50 kilograms (kg) and Body Mass Index (BMI) of \>85th percentile Exclusion Criteria: * Have Type 1 diabetes * Have received treatment with any glucose-lowering agent(s) other than metformin, basal insulin, or dulaglutide within 8 weeks prior to screening * After the Type 2 diabetes diagnosis, have a history of diabetic ketoacidosis or hyperosmolar syndrome * Have had ≥1 episode of severe hypoglycemia and/or ≥1 episode of hypoglycemic unawareness within the last 6 months * Have family or personal history of medullary thyroid carcinoma (MTC) or multiple endocrine neoplasia syndrome type 2 (MEN2) * Have prior chronic, recurrent, or idiopathic pancreatitis, or known gallbladder disease * Have been treated with prescription drugs or over-the-counter medications that promote weight loss within 8 weeks prior to screening