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these figures are congruent. what is m∠e?

Question

these figures are congruent. what is m∠e?

Explanation:

Step1: Recall congruent - figure property

Corresponding angles of congruent figures are equal.

Step2: Identify corresponding angle

In congruent figures $DEFG$ and $NOPQ$, $\angle E$ corresponds to $\angle O$.

Step3: Find the measure of $\angle O$

Given that $m\angle O = 105^{\circ}$, so $m\angle E=105^{\circ}$.

Answer:

$105$