To find the unknown angles in a regular heptagon, the interior angle is calculated as 128.57 degrees, derived from the formula (n-2)*180/n. The discussion suggests focusing on smaller components, such as the triangle formed at the top of the heptagon, to simplify the problem. Participants are encouraged to identify known angles within that triangle to aid in determining the unknowns. Understanding the relationship between the angles in the triangle and the interior angle of the heptagon is crucial for solving the problem. This approach can effectively lead to finding all unknown angles in the heptagon.