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these figures are congruent. what is m∠d?

Question

these figures are congruent. what is m∠d?

Explanation:

Step1: Recall congruent - figure property

Corresponding angles of congruent figures are equal.

Step2: Identify corresponding angles

Angle $\angle D$ corresponds to angle $\angle M$.

Step3: Find the measure of $\angle M$

Given that $m\angle M = 138^{\circ}$. Since $\angle D\cong\angle M$, then $m\angle D=138^{\circ}$.

Answer:

$138$