Given some angle [math]ABC[/math],[br][list][br][*] Create points [math]D[/math] and [math]E[/math] not on [math]\overline{BA}[/math] or [math]\overline{BC}[/math][br][br][/*][*] Using the [b]Segment tool[/b], construct line segment [math]\overline{DE}[/math][br][br][/*][*] Create point [math]F[/math] on [math]\overline{BA}[/math][br][br][/*][*] Using the [b]Compass tool[/b], create circle [math]d[/math] with radius [math]m\overline{BF}[/math] centered @ [math]B[/math][br][br][/*][*] Using the [b]Intersect tool[/b], create the point of intersection [math]G[/math] between [math]\overline{BC}[/math] and circle [math]d[/math][br][br][/*][*] Using the [b]Compass tool[/b], create circle [math]e[/math] with radius [math]m\overline{BF}[/math] centered @ [math]D[/math][br][br][/*][*] Using the [b]Intersect tool[/b], create the point of intersection [math]H[/math] between circle [math]e[/math] and [math]\overline{DE}[/math][br][br][/*][*] Using the [b]Compass tool[/b], create circle [math]f[/math] with radius [math]m\overline{FG}[/math] centered @ [math]H[/math][br][br][/*][*] Using the [b]Intersect tool[/b], create the points of intersection [math]I[/math] and [math]J[/math] between circles [math]e[/math] and [math]f[/math][br][br][/*][*] Using the [b]Ray tool[/b], construct [math]\overrightarrow{DI}[/math][br][/*][/list]

What relationship exists between [math]\angle{ABC}[/math] and [math]\angle{EDI}[/math]? [i]HINT[/i]: use the [b]Angle tool[/b][br][br][br]Does your construction pass the Drag Test?