Me w/ this geometry question. image attached.

m∠8 would be the first option, which is 50°.

We know this because m∠4 and m∠8 are corresponding angles, meaning that they are formed by a shape that kind of looks like an F. Corresponding angles are equal, so if m∠4 is 50°, that means that m∠8 is as well.

I hope this helps!

-7/8

step-by-step explanation:

instead of subtracting you add the -6/8 and -1/8

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