Question

in the diagram below, \\( \overline{ab} \\) and \\( \overline{cd} \\) intersect at point \\( e \\). what is the measure of \\( \angle aed \\)?

Explanation:

Step1: Identify angle relationship

∠AED and the 52.5° angle are supplementary (they form a linear pair, so their sum is 180°).

Step2: Calculate ∠AED

Use the formula for supplementary angles: \( \angle AED = 180^\circ - 52.5^\circ \)
\( \angle AED = 127.5^\circ \)

Answer:

127.5