Question

Find the measure of the indicated angle below


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

Answer 1

Answer:

The measure of x is $70\°$

Step-by-step 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

$x=140\°/2=70\°$