Question

drag and drop the descriptions in the box that correctly classifies the angle pairs. you may use multiple responses in the boxes.
\\( \angle c e a \\) and \\( \angle d e b \\) \\( \angle a e d \\) and \\( \angle b e d \\)
adjacent complementary
supplementary vertical

Explanation:

Step1: Define angle pairs

• Vertical angles: Opposite angles formed by two intersecting lines.
• Adjacent angles: Angles that share a common side and vertex.
• Supplementary angles: Angles whose sum is \(180^{\circ}\).

Step2: Analyze \(\angle CEA\) and \(\angle DEB\)

• \(\angle CEA\) and \(\angle DEB\) are vertical angles as they are opposite angles formed by the intersection of lines \(CD\) and \(AB\) at point \(E\).

Step3: Analyze \(\angle AED\) and \(\angle BED\)

• \(\angle AED\) and \(\angle BED\) are adjacent angles (share side \(ED\) and vertex \(E\)) and supplementary (\(\angle AED+\angle BED = 180^{\circ}\) since \(A - E - B\) is a straight line).

Answer:

\(\angle CEA\) and \(\angle DEB\): vertical; \(\angle AED\) and \(\angle BED\): adjacent, supplementary