Step-by-step explanation:

Sum of exterior angles of regular polygons are ALWAYS equal to 360°

So the 4140° must be the sum of interior angles since it is greater than 360°.

Sum of interior angles can be found using the formula:

Sum of interior angles = (n-2)×180

where n = # of sides of the regular polygon

so let's solve for n,

Sum of interior angles = (n-2)×180

4140° = (n-2)×180

divide both sides by 180

4140/180 = n-2

23 = n-2

n = 25

So # of sides of polygon is 25.

Knowing # of sides, we can now get each measurement of interior angles, which is simply,

Each interior angle = sum of interior angles / n

Each interior angle = 4140 / 25

Each interior angle = 165.6°

Knowing # of sides, we can also get each measurement of exterior angles, which is simply,

Each exterior angle = 360/n

Each exterior angle = 360/25

Each exterior angle = 14.4°

* as always double check my computations for errors or carelessness.

Notes:

I assumed the 41400 is actually 4140°

if the correct value is really 41400°, then just redo whole process and use the value of 41400.

Tip, n = 232, when it is 41400