The measure of an interior angle of a regular polygon is 156°. Find the number of sides in the polygon.

Sure, here are the steps to find the number of sides in the polygon:

1. We know that the formula to calculate the measure of each interior angle in a regular polygon is given by: (n-2) * 180° / n, where n is the number of sides.

2. In this case, we know the measure of each interior angle is 156°. So, we can set up the equation: (n-2) * 180° / n = 156°

3. To solve for n, we first multiply both sides by n to get rid of the denominator on the left side: (n-2) * 180° = 156° * n

4. Then, distribute the 180° on the left side: 180n - 360 = 156n

5. Subtract 156n from both sides to get: 24n = 360

6. Finally, divide both sides by 24 to solve for n: n = 360 / 24 = 15

So, the polygon has 15 sides.