Answer:
[tex]x=38.56[/tex]
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.
[tex]35+90+x=180 \\ \\ 125+x=180 \\ \\ x=55[/tex]
Now we can use the law of sines.
[tex]\frac{a}{sin(A)}=\frac{b}{sin(B)}[/tex]
Where the lowercases are the side lengths and the uppercases are the angle measures.
Plug in the values we know.
[tex]\frac{27}{sin(35)}=\frac{x}{sin(55)}[/tex]
Solve using a calculator.
[tex]x=38.55999618 \\ \\ x=38.56[/tex]
