Answer:
Part a) The measure of an exterior angle is 60°
Part b) The measure of an interior angle is 120°
Step-by-step explanation:
step 1
Find the value of x
we know that
A regular polygon has equal sides and equal interior angles
The sum of an interior angle plus an exterior angle must be equal to 180 degrees (supplementary angles)
so
solve for x
step 2
Find the measure of an exterior angle
2x
substitute the value of x
step 3
Find the measure of an interior angle
4x
substitute the value of x
In this problem the regular polygon is a hexagon