Question

a reflection of △qrs across line n results in △tvu. what is the measure of ∠u? a. 54° b. 56° c. 58° d. 60° e. 114°

Explanation:

Step1: Recall reflection property

When a triangle is reflected across a line, the original triangle and the reflected - triangle are congruent. Congruent triangles have equal corresponding angles.

Step2: Identify corresponding angles

In $\triangle QRS$ and $\triangle TVU$, $\angle U$ corresponds to $\angle S$.

Step3: Determine angle measure

Given that $\angle S = 66^{\circ}$, since corresponding angles of congruent triangles are equal, $\angle U=66^{\circ}$.

Answer:

There is no correct option shown in the provided choices as the measure of $\angle U$ is $66^{\circ}$.