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z=24 degrees. To explain, you can solve for x by making the equation 2x+48=180 since 180 degrees is the angle of a straight line. Once you solve for x, you add that number to 90. Finally, subtract that number from 180 to get z. You subtract from 180 because a triangle's total angle sum is always 180

225x²+4=0

225x²=0-4

225x²=-4

x²=-4/225

x=±√-4/225

< 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)