Given:
Angle LMN has a measure of 35°.
The angle is rotated 75° about point M to create angle L'M'N'.
To find:
The measure of angle L'M'N'.
Solution:
We have,
[tex]m\angle LMN=35^\circ[/tex]
The angle LMN is rotated 75° about point M to create angle L'M'N'.
We know that, rotation is a rigid transformation. So, after rotation the corresponding sides and angles remains congruent.
It means,
[tex]m\angle L'M'N'=m\angle LMN[/tex]
[tex]m\angle L'M'N'=35^\circ[/tex]
Therefore, the measure of angle L'M'N' is 35°.
