Question

a figure containing $\angle vwx$ is dilated by a scale factor of $\frac{1}{4}$ to form a new figure which contains $\angle vwx$. $\angle vwx$ measures $120^\circ$. what is the measure of $\angle vwx$?

Explanation:

Step1: Recall dilation property for angles

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

Step2: Determine the measure of \( \angle V'W'X' \)

Since \( \angle VWX = 120^\circ \) and dilation does not affect angle measures, \( \angle V'W'X' \) will have the same measure as \( \angle VWX \).

Answer:

\( 120^\circ \)