If someone could answer this i will give brainliest cuz no one likes to help me on this website anymore

This is an isoscele trapezoid, because the 2 sides are equal and the bases are parallel.

This means:

5x+45=20x

y=z

5x+45=20x, 45=15x, x=3

The sim of all angles is 360⁰.

2×20x+y+z=2×60+2y=360

60+y=280, y=z=120⁰

x=3, y=z=120⁰

well, as we can see from the tickmarks on the slanted sides, they're equal, meaning is an isosceles trapezoid, meaning the angles up above are equal to each other, and the angles down below are also equal to each other, namely.

z = y and 5x + 45 = 20x.

well, the sum of all interior angles in a polygon is

180(n - 2), where n = sides

this trapezoid has 4 sides, so the sum of all its interior angles is 180(4 - 2) = 360°.

well, we know that the angles above are 60° each, so that's 120° for those, and 360° - 120° = 240°, so "z" and "y" will evenly split 240°, namely ∡z = ∡y = 120°.