Answer:Part 1) The measure of x is 23°Part 2) The value of y is [tex]y=5\ units[/tex]Part 3) The value of z is [tex]z=12\ units[/tex]Step-by-step explanation:step 1Find the value of xwe know that[tex]x+67\°=90\°[/tex] ------> by complementary angles[tex]x=90\°-67\°=23\°[/tex]step 2Find the value of yIn the right triangle of the figure[tex]cos(67\°)=\frac{y}{13}[/tex] -----> adjacent side angle of 67 degrees divided by the hypotenuse[tex]y=(13)cos(67\°)=5\ units[/tex]step 3Find the value of z In the right triangle of the figure[tex]sin(67\°)=\frac{z}{13}[/tex] -----> opposite side angle of 67 degrees divided by the hypotenuse[tex]z=(13)sin(67\°)=12\ units[/tex]