Question

Need help with algebra 2!

Answer 1

`x=38.56`

Explanation:

First, we'll solve for the missing angle.

The interior angles of a triangle add up to 180, so let's make an equation.

`35+90+x=180 \\ \\ 125+x=180 \\ \\ x=55`

Now we can use the law of sines.

`(a)/(sin(A))=(b)/(sin(B))`

Where the lowercases are the side lengths and the uppercases are the angle measures.

Plug in the values we know.

`(27)/(sin(35))=(x)/(sin(55))`

Solve using a calculator.

`x=38.55999618 \\ \\ x=38.56`