Angiosperms are classified into monocots and dicots based on features such as cotyledons, leaf venation, root systems, floral parts, and vascular bundle arrangements. Monocots have one cotyledon, parallel leaf venation, fibrous roots, flower parts in groups of three, and scattered vascular bundles, while dicots have two cotyledons, net-patterned leaves, tap roots, flower parts in groups of four or five, and vascular bundles arranged in a circle. Additionally, monocots are typically herbaceous, whereas dicots can be either herbaceous or woody.