Question

these figures are congruent. what is m∠i?

Explanation:

Step1: Recall congruent - figure property

Corresponding angles of congruent figures are equal.

Step2: Identify corresponding angles

We need to find the angle in the first figure that corresponds to $\angle I$. Since the figures are congruent, by observing the side - length and angle - measure relationships, we can see that $\angle I$ corresponds to $\angle F$.

Step3: Determine the measure of the corresponding angle

Given that $m\angle F = 35^{\circ}$, then $m\angle I=35^{\circ}$ because corresponding angles of congruent figures are congruent.

Answer:

$35$