What is the measure of one exterior angle

Question

of an equiangular hexagon

Answer 1

Hello from Naperville! :)

 

Because the measures of each interior angle of the hexagon are the same, you can use the formula to calculate each interior angle: 

 

180(n-2)

---------

    n

 

So in this case 180(4) / 6. Which equals 120. Now an exterior angle can be formed by extending one side of the hexagon, which forms a linear pair with the interior angle. Linear pairs add up to 180°, so your exterior angle would be 60°.

 

Another way of solving this is to take 360 and divide by the number of sides in the polygon (assuming it is a regular polygon which I believe this would be), so 360/60 = 60. That's a shorter way of doing it. But it's good to know both ways. ;)

 

Let me know if you have any further questions, I'm also available for tutoring as well! 

 

-Justin

Answer 2

DELETED (previous answer was based on a faulty solution--I lapsed into equilateral triangle thinking rather than hexagon!)