units.
by reflexive property;
are corresponding angles formed when parallel lines BC and AD are intersected by transversal AE. By corresponding angles theorem, they are congruent.
. Similar triangles have proportional corresponding parts, so![\dfrac{AE}{BE}=\dfrac{AD}{BF}\\ \\\dfrac{12+6}{6}=\dfrac{8}{x}\\ \\18x=48\ [\text{Cross multoply}]\\ \\x=\dfrac{48}{18}=\dfrac{8}{3}=2\dfrac{2}{3}\ units](/tpl/images/0521/5545/6bc61.png)
units, so
units. By segment addition postulate,
by reflexive property
are corresponding angles formed when parallel lines AB and CD are intersected by transversal EC. By corresponding angles theorem, they are congruent.
by AA similarity theorem. Similar triangles have proportional corresponding parts, so
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