Question

in a polygon, two interior angles measure 144 degrees and 156 degrees. Assuming that this pattern continues of interior angle measures, determine the name of the polygon.

Answer 1

Consider this:

The sum of both angles is 300 degrees
Which means the average measure for each interior angle is 150 degrees.
The average measure of each exterior angle is 30 degrees. If you divide 360 by 30, you get the number of interior angles for the polygon, and thus should be able to name the type of polygon based on the number of interior angles.

Answer 2

@Mad_e13

Answer 3

360 /30 = 12
a dodecagon?