Respuesta :

Since DA is the diameter the formed angle equals 180

since DZC=2x

then

[tex]180=DZC+CZB+BZA[/tex][tex]180=(2x)+(7x-4)+85[/tex][tex]180-85+4=9x[/tex][tex]x=\frac{99}{9}[/tex][tex]x=11[/tex]

since x= 11

then the measure of the angle CZB is given by

[tex]7(11)-4[/tex][tex]mCZB=73[/tex]

measure of the angle CZB is 73°

Correct answer option D

73°