Question

Angle LMN has a measure of 35∘ . The angle is rotated 75∘ about point M to create angle L'M'N'. What is the measure of angle L'M'N'?

Answer 1

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,

$m\angle LMN=35^\circ$

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,

$m\angle L'M'N'=m\angle LMN$

$m\angle L'M'N'=35^\circ$

Therefore, the measure of angle L'M'N' is 35°.