Answer:
12°
Step-by-step explanation:
The outer polygon is a hexagon and the inner polygon is a pentagon.
Let's start by finding the measure of an interior angle of the (regular) hexagon.
The sum of the measures in a polygon is:
(n-2)(180)
Where n represents the amount of sides in a figure therefore...
(6-2)(180)=4(180)=720
Then, we divide 720 by 6 (because there are 6 angles), to find the measure of one angle...
720/6=120
Next, find the measure of an interior angles of a (regular) pentagon.
(n-2)(180)=(5-2)(180)=3(180)=540
Divide 540 by 5 (there are 5 angles), to find the measure of one angle...
540/5=108
Now, subtract 120 by 108 to find a...
120-108=12
a=12°
