The lenghts, in order, of four consecutive sides of an equiangular hexagon are 1, 7, 2, and 4 units, respectively. What is the sum of the lengths of the two remaining sides?

I don't understand.

If the angles are all the same then the sides are all the same.

What am I missing?

Just because all the angles are the same, it doesn't mean all the sides are the same.

Thanks for enlightening me

this should get you started!