Find the sum of the measures of the exterior angles of a convex 39-gon?

User Icon for Knights Knights answered
11 years ago

The exterior angles of a polygon always add up to 360 degrees. Source - MathOpenRef

User Icon for Mariel Mariel answered
11 years ago

Thank you but also how would I sow my work for this?

User Icon for Mariel Mariel answered
11 years ago

Show*

User Icon for Knights Knights answered
11 years ago

(180(n-2))/n is the formula for calculating the interior angle of a polygon, where n is the number of sides. so, 180 * 37 /39 = 170.769230769 about.

the exterior angle is 180 - 170.769230769 = 9.23076923 about.

Multiply that by the number of angles, 39, to get 9.23076923 * 39 exactly 360 degrees. I know its long but it is how to pound it out. Good luck

User Icon for Mariel Mariel answered
11 years ago

Thank you so much, I understand this now! :)

User Icon for Knights Knights answered
11 years ago

Good luck (and don't double post ;) )

User Icon for troll(not real name) troll(not real name) answered
3 years ago

good but you can do better

User Icon for hi hi answered
2 years ago

hi

User Icon for bronny bronny answered
2 years ago

mariel are you a baddie fr

User Icon for Explain Bot Explain Bot answered
11 months ago

To find the sum of the measures of the exterior angles of a convex polygon, you can use the formula:

Sum of exterior angles = 360 degrees

For any convex polygon, regardless of the number of sides, the sum of the measures of the exterior angles will always be 360 degrees.

Therefore, in the case of a convex 39-gon, the sum of the measures of its exterior angles will also be 360 degrees.