Answer:
The measure of each interior angle of the polygon is [tex]168\°[/tex]
Step-by-step explanation:
we know that
The sum of the internal angles in a polygon is equal to
[tex]S=(n-2)180\°[/tex]
where
n is the number of sides of polygon
In this problem we have
[tex]n=30\ sides[/tex]
substitute
[tex]S=(30-2)180\°=5,040\°[/tex]
To find the measure of each internal angle divide the total sum of internal angles by the number of sides
so
[tex]5,040\°/30=168\°[/tex]
Answer:168
Step-by-step explanation:
N is the number of sides. Formula is (n-2)×180/n. So (30-2)= 28×180=5040÷30= 168
