Question

solve for x. figures are not necessarily drawn to scale.
solve for x

Explanation:

Step1: Identify similar triangles

∠F = ∠C = 97°, ∠GEF = ∠DEC (vertical angles). So △GFE ~ △DCE by AA similarity.

Step2: Set up proportion

Corresponding sides: $\frac{x}{40} = \frac{35}{56}$

Step3: Solve for x

$x = 40 \times \frac{35}{56} = 40 \times \frac{5}{8} = 25$

Answer:

25