Question

Help me please!
I want the answer with step by step explanation.​

Answer 1

*Answer* is 73.39845

Answer 2

Answer: 73.39845

Step-by-step explanation:

Since this is not a right triangle, we can't use the Pythagorean theorem and must use a different method. Since all sides are known, we can use the cosine rule to find the angle QPR

`cos(x) =(Q^(2)+R^(2)-P^(2) )/(2QR)`

the sides P, R, and Q refer to the side that is opposite to that angle (see picture below)

so P = 9, R = 7, Q = 8

plug these values in

`cos(x) =(7^(2)+8^(2)-9^(2) )/(2*7*8)`

`cos(x) =(7^(2)+8^(2)-9^(2) )/(2*7*8)`

`cos(x)=(32)/(112) = (2)/(7)`

use calculator to solve for x

x = 73.39845