Use an algebraic equation to find the measures of two angles described below . begin by letting x represent the degree measure of the angles supplement . the measure of the angle is fifty nine times greater than its supplement

easy greater or less then just isolate the varible and use diveision

each side has a different length.  

step-by-step explanation:

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