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these figures are congruent. what is m∠b?

Question

these figures are congruent. what is m∠b?

Explanation:

Step1: Recall congruent - triangle property

Corresponding angles of congruent triangles are equal.

Step2: Identify corresponding angles

In congruent triangles $\triangle ABC$ and $\triangle VUW$, $\angle B$ corresponds to $\angle U$.

Step3: Determine the measure of $\angle B$

Since $\angle U = 34^{\circ}$, then $m\angle B=34^{\circ}$.

Answer:

$34^{\circ}$