Alright — let's do this.
6.1 Calculate x if △ AGD ∣∣∣ △ DHE.
Step 1: Identify corresponding sides from the similarity statement.
Given △ AGD ∣∣∣ △ DHE, the corresponding sides are:
DHAG=HEGD=DEAD
Step 2: Substitute the given lengths from the diagram.
From the diagram:
AG=4.5
GD=4.8
AD=AB+BC+CD=3+x+3.2=6.2+x
DH=6.75
$HE