Question

question
△cnw can be mapped onto △tye by a reflection. if m∠n = 117°, find m∠t.
answer attempt 1 out of 2
m∠t be determined.

Explanation:

Step1: Use the property of reflection

Reflection is a rigid transformation. Rigid transformations (reflection, rotation, translation) preserve the shape and size of the figure. So, if \(\triangle CNW\) is mapped onto \(\triangle TYE\) by a reflection, then \(\triangle CNW\cong\triangle TYE\).

Step2: Use the property of congruent triangles

For congruent triangles \(\triangle CNW\) and \(\triangle TYE\), corresponding angles are equal. That is, \(\angle C\) corresponds to \(\angle T\), \(\angle N\) corresponds to \(\angle Y\), and \(\angle W\) corresponds to \(\angle E\).
We are given \(m\angle N = 117^{\circ}\), but we need to find \(m\angle T\). There is no information given about the correspondence of \(\angle N\) and \(\angle T\) (since \(\angle N\) corresponds to \(\angle Y\) in the congruent triangles \(\triangle CNW\cong\triangle TYE\)) and no other angle - related information (like sum of angles in a triangle, or other angle - angle relationships) provided to relate \(\angle T\) to the given \(\angle N\).

Answer:

Cannot