1 Answer

Aazim · Answer 1 · 2022-09-21T21:31:48+0000

Explanation:

Note that since
$\triangle ABC \cong \triangle DEF,$ we can see from the figure that
$\angle B$ and
$\angle E$ have the same measure.

a) To solve for the length of
$\overline{AB},$ we write

$3x + 6 = 4x \Rightarrow x = 6$

b) Since the two triangles are congruent, we can say that
$\angle A = \angle D$ so we can write

6y + 12 = 8y + 2

Solving for y, we get

$2y = 10 \:\Rightarrow \:y = 5$

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