Question

dd.6 identify complementary, supplementary, vertical, adja
which angles are adjacent to each other?
image of lines intersecting at point e with points a, b, c, d on the lines

Explanation:

Adjacent angles share a common side and a common vertex (and do not overlap). At point \( E \), angles formed by intersecting lines: for example, \( \angle BEC \) and \( \angle CEA \) share side \( EC \) and vertex \( E \); or \( \angle BEC \) and \( \angle BED \) share side \( EB \) and vertex \( E \), etc. (Specifically, pairs like \( \angle AEC \) and \( \angle BEC \) (share \( EC \) and \( E \)), \( \angle AEC \) and \( \angle AED \), \( \angle BED \) and \( \angle BEC \), \( \angle BED \) and \( \angle AED \) are adjacent as they meet the criteria of common side, common vertex, no overlap.)

Answer:

Examples of adjacent angles: \( \angle AEC \) and \( \angle BEC \), \( \angle AEC \) and \( \angle AED \), \( \angle BED \) and \( \angle BEC \), \( \angle BED \) and \( \angle AED \) (any valid pair based on the diagram’s angle formation at \( E \) with shared side/vertex).