I would really appreciate it if y’all would help me on this question asap please and thank you

11=64 15=64 and 1=116

Step-by-step explanation:

6 and 5 are a straight angles meaning they add up to 180 so if you take 180-64=116 you can apply them to their congruent angles and figure it out

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