The probabilities of poor print quality given no printer problem, misaligned paper, high ink viscosity, or printer-head debris are 0,0.3,0.4 and 0.6 respectively. The probabilities of no printer problem, misaligned paper, high ink viscosity, or printer-head debris are 0.8,0.02,0.08, and 0.1,respectively. a) determine the probability of high ink viscosity given poor print quality.
b) given poor print quality, what problem is most likely?

< xcy ≅ < xby

step-by-step explanation:

in δcax and δbax,

so, δcax ≅ δbax (side-angle-side or sas)

since δcax ≅ δbax, we can conclude < acx ≅ < abx

in δacy and δaby,

so, δacy ≅ δaby (side-angle-side or sas)

since δacy ≅ δaby, we can conclude < acy ≅ < aby

now,

< acy ≅ < aby

=> < acx + < xcy ≅ < abx + < xby

=> < acx + < xcy ≅ < acx + < xby   (since < acx ≅ < abx already proved above)

subtracting < acx from both sides, we get

< acx + < xcy -< acx ≅ < acx + < xby -< acx

cancelling out < acx and -< acx from both sides, we get

< xcy ≅ < xby (proved)