Question

The law of cosines is used to find the measure of Z.

Answer 1

we know that

The formula of the law of cosines is

$z^{2}=a^{2} +b^{2}-2*a*b*cos (Z)$

in this problem we have

$16^{2}=18^{2} +19^{2}-2*18*19*cos (Z)\\256=324+361-684*cos (Z)\\256=685-684*cos (Z)\\-429=-684*cos (Z)\\\\cos (Z)=\frac{429}{684}\\\\ \\Z=arc\ cos(\frac{429}{684})\\\\\\Z= 51.157$

Round to the nearest whole degree

Z=51 degrees

therefore

the answer is

51 degrees

Answer 2

Answer:

is 51 degrees