Answer:
x = 4
Explanation:
assuming you require to find the value of x
Δ ADE and Δ ACB are similar ( by the AA postulate )
then the ratios of corresponding sides are in proportion, that is
=
( substitute values )
=
=
( cross- multiply )
(2x - 2)(x + 2) = x(2x + 1) ← expand left side using FOIL
2x² + 2x - 4 = 2x² + x ( subtract 2x² + x from both sides )
x - 4 = 0 ( add 4 to both sides )
x = 4