Question

Which expression can be used to find the value of x?

Answer 1

Answer:

Option B. $x =\frac{23.sin55}{sin85}$ is the expression.

Step-by-step explanation:

In the given triangle ∠D = 85° and ∠F = 55°

DE = x and EF = 23

Therefore by sine rule

$\frac{sinD}{EF}=\frac{sinF}{ED}$

By putting the given values in the formula we can get the value of x  

$\frac{sin 85}{23}=\frac{sin55}{x}$

$x =\frac{23.sin55}{sin85}$

Therefore option B. $x =\frac{23.sin55}{sin85}$ is the answer.

Answer 2

The second choice can.