One interior angle would have a measure of 169.4° and one exterior angle would have a measure of 10.6°.
We first find the sum of the angles of the 34-gon. This is done using the formula
(n-2)(180), where n is the number of sides:
(34-2)(180) = 32(180) = 5760
Now we divide this by 34, since there are 34 congruent angles in the shape:
5760/34 = 169.4
The measure of an exterior and interior angle together will make 180°, so the exterior angle is found by
180-169.4 = 10.6°
