Answer:
x=11.25
Step-by-step explanation:
Given that the measures of each exterior angle in a regular hexagon is (4x + 15)°.
Hexagon means there are 6 sides.
We know that sum of all exterior angles of a regular polygon is always 360 degree.
So if there are n sides of polygon then we can write formula:
nA=360
where n= number of sides = 6
A=(4x + 15)° {given each interior angle is equal to (4x + 15)°}
plug these into above formula:
6(4x + 15)°=360°
4x + 15=60
4x = 45
4x = 45
x=11.25
Hence final answer is x=11.25.
