angle DEG= 7.5 and angle GEF= 11.25
HEF is a Line.
∠HED=90°------[Given]
So, ∠DEF=180° -90°------ By Linear Pair Axiom
→6x+4x=90°
→10 x=90°
Dividing both side by 10
→x=9°
→ ∠DEG=6×9°=54°
→∠GEF=4×9°=36°
Angles ∠DEG and ∠GEF can be calculated using given information about a right angle and their relationship in triangle DEF. With angle ∠HED being 90°, it follows that ∠DEF is also 90°. This leads to measures of ∠DEG being 54° and ∠GEF being 36°.
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What's the point? Do you rob a bank?