Question

these figures are congruent. what is ( mangle w )?

Explanation:

Step1: Match congruent triangle sides

In $\triangle CED$, side $CE=44$ yd; in $\triangle VUW$, side $VU=44$ yd. These are corresponding congruent sides.

Step2: Identify corresponding angles

Corresponding angles of congruent triangles are equal. $\angle W$ corresponds to $\angle D$ because the side adjacent to $\angle W$ (shared with the 44 yd side) matches the side adjacent to $\angle D$ (shared with the 44 yd side).

Step3: Confirm angle measure

We know $m\angle D=59^\circ$, so $m\angle W=m\angle D$.

Answer:

$59$