trapezoid STAR is isosceles. find the length of each side and the measure of each angle and one angle is 110

Capuchin

If you mean an isoceles trapezoid, then i'm not sure if you have enough information

You can work out the angles, but you can't work out the lengths. as the top angle is 110, the bottom angle has to be 180-110 = 70 degrees, this is true for both sides of an isosceles trapezoid (isosceles means the 2 sloping sides are the same length and therefore have the same angles). However I don't think you can work out the lengths from the information you have given here.

asterisk_man

I agree with capuchin. The information provided defines a subset of all trapezoids, however, that subset still contains an infinite number of possible trapezoids. I think that the length of any one side would be enough to solve the problem.
To see this, imagine the trapezoid STAR, now imagine magnifying STAR. The angles will continue to stay the same but the side lengths would all change.

think_pink

you dont have much information to solve the whole problem tho