Question

Need help with algebra 2!

Answer 1

Answer:

$x=38.56$

Step-by-step 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.

$\frac{a}{sin(A)}=\frac{b}{sin(B)}$

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

Plug in the values we know.

$\frac{27}{sin(35)}=\frac{x}{sin(55)}$

Solve using a calculator.

$x=38.55999618 \\ \\ x=38.56$