Question

Enter the number that belong in the green box please help

Answer 1

Explanation:

Since we have three sides and trying to find an angle, use Law of Cosines

`c = \sqrt{ {a}^(2) + {b}^(2) - 2ab * \cos(d) }`

where c is

Solving for the angle d.

`\cos {}^( -1 ) (( \frac{ {c}^(2) - {b}^(2) - {a}^(2) }{ - 2ab} ) = d`

where d is in degrees

The angle d is the opposite of the side c.

It does not matter what a and b is(they can be either 4 or 5)

let

c=7

a=4

b=5

`\cos {}^( - 1) ( ( - 1)/(5) ) = d`

This angle must be within 0 and 180

We get

`d = 101.54`