The measure of each interior angle of a regular polygon is 156°. find the number of sides.

15 sides

Step-by-step explanation:

Interior angle = {n - 2}{180/n}

156 = {n - 2}{180/n}

Cross multiply

156n = {n - 2}180

156n = 180n - 360

180n - 156n = 360

24n = 360

n = 369/24

n = 15

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have