What is the value of x in the regular polygon below?

The value of x is equal to

Step-by-step explanation:

we know that

The sum of the internal angles of a polygon is equal to

where

n is the number of sides of the polygon

In this problem

substitute

To find the measure of one internal angle of the figure, divide the sum by the number of sides

In this problem

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.