By using the diagram, we get m∠FDE = 17º.
What is the difference between acute angle and obtuse angle?
Acute angles estimate less than 90 degrees. Right angles estimate 90 degrees. Obtuse angles estimate more than 90 degrees.
The angle of sides [tex]$\angle 4[/tex] be CD and DG.
[tex]$\angle 2[/tex] be the vertex on point D.
[tex]$\angle 3[/tex] be [tex]$\angle GDE[/tex]
Here, [tex]$\angle 5[/tex] be the acute angle and
[tex]$\angle CDE[/tex] be the obtuse angle
if [tex]$m \angle 5=42^{\circ}$[/tex] and [tex]$m \angle 1=117^{\circ}$[/tex]
[tex]$ m \angle C D F &=m \angle 5+m \angle 1[/tex]
[tex]$\\ &=42+117=159 \end{aligned}$$[/tex]
[tex]$m \angle F D E &=90^{\circ}-m \angle 3 \\[/tex]
[tex]&=90-73=17^{\circ}[/tex]
Therefore, m∠FDE = 17º.
To learn more about acute angle and obtuse angle
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