Answer :
Answer:
Number of sides of polygon = N =10
Step-by-step explanation:
Given as , the sum of measures of the interior angles = 144 degree
Let the number of sides = N
Now, External angle = [tex]\frac{360}{N}[/tex]
And Interior angle = 180° - Exterior angles
Or, Interior angle = 180° - [tex]\frac{360°}{N}[/tex]
Or , 144° = 180° - [tex]\frac{360°}{N}[/tex]
Or, [tex]\frac{360°}{N}[/tex] = 180° - 144°
Or , [tex]\frac{360°}{N}[/tex] = 36°
∴ N = [tex]\frac{360°}{36°}[/tex]
Hence, Number of sides of the polygon = 10 Answer