Answer:
a = 14.73
Step-by-step explanation:
This ratio can also be written like this:

Then you can cross multiply to get
11a = 6 x 27
11a = 162
Divide both sides by 11
11a / 11 = 162 / 11
a = 14.73
The measure of any interior angle of a convex regular n-gon is :
180 º - ( 360 º / n )
For a 30-sided polygon,
interior angle = 180 º - ( 360 º / 30 )
..................... = 180 º - 12 º
..................... = 168 º