Question

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

16 squared = 18 squared + 19 squared – 2(18)(19)cos(Z)

256 = 324 + 361 – (684)cos(Z)

256 = 685 – (684)cos(Z)

–429 = –(684)cos(Z)

To the nearest whole degree, the measure of Z is
degrees.

Answer 1

The measure of angle Z is 51 degrees, which is C on EDG.

Explanation:

Answer 2

16² = 18² + 19² - 2(18)(19)cos(z)

256 = 324 + 361 - (684)cos(z)

256 = 685 - (684)cos(z)

-429 = -684cos(z)

cos(z) = -429/-684

z = cos⁻¹ (0.627)

z = cos⁻¹ (cos 51) [ Cos 51 = 0.627 ]

z = 51

In short, Your Answer would be: 51

Hope this helps!