Aregular polygon has an interior angle of 172 degrees
find the number of sides of this polygon

45 sides

Step-by-step explanation:

we know that

The formula to determine the sum of the interior angles in a regular polygon is

----> equation A

where

s is the sum of the interior angles

n is the number of sides of polygon

we have that

The sum of the interior angles divided by the number of sides is equal to the measure of one interior angle in a regular polygon

so

-----> equation B

substitute equation B in equation A and solve for n

c. side angle side. u shares the same sides

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!