. Find the number of sides of a regular polygon
when each of its angles has a measure of 175º.
Each interior angle of the regular polygon =175º
Each Interior angle of the regular polygon =(n-2)/n ×180º
⇒175º = (n-2)/n ×180º
⇒175n = 180n-360
⇒360 = 180n-175n
⇒N = 360/5
Therefore, number of sides in the regular polygon is 72.