Question

a figure containing \\( \angle o p q \\) is dilated by a scale factor of 2 to form a new figure which contains \\( \angle o ^ { prime } p ^ { prime } q ^ { prime } \\). \\( \angle o ^ { prime } p ^ { prime } q ^ { prime } \\) measures \\( 28 ^ { \circ } \\). what is the measure of \\( \angle o p q \\)?
answer attempt 1 out of 2
\\( m \angle o p q = \\)

Explanation:

Step1: Recall the property of dilation

Dilation is a transformation that changes the size of a figure but not the shape. Angles are preserved in dilation.

Step2: Apply the property to the given angles

Since \(\angle OPQ\) is dilated to form \(\angle O'P'Q'\), and angles are preserved in dilation, \(m\angle OPQ=m\angle O'P'Q'\). Given \(m\angle O'P'Q' = 28^{\circ}\), so \(m\angle OPQ=28^{\circ}\).

Answer:

\(28\)