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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
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 $\angle LMN$.
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$82^{\circ}$