Equiangular polygon has how many sides exterior angle is 25

If the exterior angle is 25o then the interior angle is its supplement.

The interior angle = 180 - 25 = 155 degrees. All angles are equal in the interior.

The sides aren't.

I'm hoping you get an answer besides mine. I can take you so far.

The formula for an interior angle is

180 (1 - 2/n) = Interior angle. When you solve this you get

180 (1 - 2/n) = 155

1 - 2/n = 155/180

1 - 2/n = 0.86111111

- 2/n = 0.8611111 - 1

2/n = 0.13888888

2 / 0,1388888 = n

n = 14.4

You can google equiangular polygon theorem to see where I got the formula. The problem is that I really don't know how to interpret the answer. It looks like you have 14 conguent sides and 1 that is 0.4 left over. The figure might still be equiangular.