Question

the figure below is dilated by a scale factor of 4 to form \\(\angle xyz\\). what is the measure of \\(\angle xyz\\)?

Explanation:

Step1: Recall dilation property on angles

Dilation is a transformation that scales the lengths of sides but does not change the measure of angles. So, the angle measure remains the same after dilation.

Step2: Determine the measure of ∠X'Y'Z'

Since the original angle ∠XYZ is \(48^\circ\) and dilation preserves angle measures, ∠X'Y'Z' will have the same measure as ∠XYZ.

Answer:

\(48^\circ\)