Question

WILL MARK BRAINLIEST Decide whether the triangles are similar. If so, determine the appropriate expression to solve for x.

Answer 1

Answer:

third option

Step-by-step explanation:

∠ E = 180° - (65 + 53)° = 180° - 118° = 62°, then

∠ A = ∠ F = 53° and ∠ C = ∠ E = 62° , thus

Δ ABC ~ Δ FDE by the AA postulate

Since the triangles are similar then the ratios of corresponding sides are equal, that is

$\frac{BC}{DE}$ = $\frac{AB}{FD}$ , substitute values

$\frac{x}{z}$ = $\frac{w}{r}$ ( multiply both sides by z )

x = z × $\frac{w}{r}$