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these figures are congruent. what is ∠r?

Question

these figures are congruent. what is ∠r?

Explanation:

Step1: Recall congruent - triangle property

Corresponding angles of congruent triangles are equal.

Step2: Identify corresponding angles

In the two congruent triangles, the angle corresponding to $\angle R$ in the other triangle is the angle with measure $34^{\circ}$. So $\angle R = 34^{\circ}$.

Answer:

$34^{\circ}$