Please help with this!! I will mark brainliest! I just need a simple explanation

x = 29

Step-by-step explanation:

The four angles of a Parallelogram equal to 360. Its name is derived from the fact that its made up of two sets of parallel lines which means that its opposite angles are equivalent. Fortunately, you are given the values for the angles that are not equivalent which means you can create an equation and solve for x.

5x - 23 + 5x - 23 + 2x + 2x = 360

14x - 46 = 360

14x = 406

x = 29

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4