Question

Please help me with solving for x

Answer 1

Explanation:

For some side x, we are given two angles so let use law of sines

We don't know the angle opposite of the x side so we using the triangle interior property

`120 + 51 + x = 180`

`x = 9`

So the missing angle is 9.

The law of sines formula is that

`(a)/( \sin( \alpha ) ) = (b)/( \sin( \beta ) )`

where a and b are side lengths.

And alpha, and Beta are angles that are OPPOSITE of the side lengths, a and b, respectively

Let a be 25,

therefore alpha is 120

Let b be x,

therefore beta is 9.

`(25)/( \sin(120) ) = (x)/( \sin(9) )`

Solving for x.

`25 * ( \sin(9) )/( \sin(120) ) = x`

`x = 4.51587`

Round if needed so our answer is

`x = 4.5`