Question

Find the measure of the indicated angle below

Tried to find the side length but couldn’t pull it off

Answer 1

The measure of x is
`70\°`

Explanation:

we know that

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

`S=(n-2)*180\°`

where

n is the number of sides

In this problem we have

`n=9\ sides`

substitute

`S=(9-2)*180\°=1,260\°`

Find the measure of each internal angle

Divide the sum of the internal angles by the number of sides

`1,260\°/9=140\°`

The value of x is half the measure of internal angle

so

`x=140\°/2=70\°`