In ΔPQR, \text{m}\angle P = (x+13)^{\circ}m∠P=(x+13) ∘
, \text{m}\angle Q = (10x+13)^{\circ}m∠Q=(10x+13)
∘
, and \text{m}\angle R = (2x-2)^{\circ}m∠R=(2x−2)
∘
. Find \text{m}\angle Q. m∠Q.

answer: the answer is 127 degrees

college

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

no because after the troops were pulled many blacks were killed by hangings lynchings and other cruel ways which in a way interrupted the reconstruction of the south and differed from the way abraham lincoln had an idea of reconstruction