Answer:[tex]x=30^{\circ}[/tex]
Step-by-step explanation:
We know sum of the interior angles of a quadrilateral is [tex]360^{\circ}[/tex]
therefore we can write
[tex](2x+15)+(2x-5)+(3x+75)+(3x-25)=360^{\circ}[/tex]
so
[tex]\Rightarrow 10x+60=360[/tex]
[tex]\Rightarrow 10x=300[/tex]
[tex]\Rightarrow x=30^{\circ}[/tex]
So smallest interior angle is [tex](2x-5)^{\circ}=(60-5)=55^{\circ}[/tex]
Largest interior angle [tex]=3x+75=90+75=165^{\circ}[/tex]
