The sum of the measures of seven angles of an octagon is 1000 degrees fine the measure of the eighth angle

80°

Step-by-step explanation:

We know that the sum of all angles in a polygon having n sides is given by :

For octagon , n= 8

Then, the sum of all angle sin octagon =

It is given that , The sum of the measures of seven angles of an octagon is 1000 degrees.

Then, the measure of the eighth angle = Sum of all angles - 1000°  

= 1080° -  1000°  =80°

Hence, the measure of the eighth angle is 80° .