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question the figure below is dilated by a scale factor of 5 to form ∠lm…

Question

question the figure below is dilated by a scale factor of 5 to form ∠lmn. what is the measure of ∠lmn? watch video show examples

Explanation:

Step1: Recall dilation property

Dilation preserves angle - measures.

Step2: Identify original angle

The measure of $\angle LMN = 82^{\circ}$.

Step3: Determine dilated - angle measure

Since dilation preserves angle - measures, the measure of $\angle L'M'N'$ is the same as the measure of $\angle LMN$.

Answer:

$82^{\circ}$