Respuesta :

calculista

we know that

The measurement of the external angle is the semi-difference of the arcs which includes

so

m∠LMN=[tex]\frac{1}{2}(270\°-90\°)=90\°[/tex]

therefore

the answer is [tex]90\°[/tex]

akposevictor

Applying the outside angles theorem, the measure of angle LMN is: 90 degrees.

How to Apply the Outside Angles Theorem?

Based on the Outside Angles Theorem, we have the following equation:

m∠LMN = 1/2(270 - (360 - 270)]

m∠LMN = 1/2(270 - 90]

m∠LMN = 1/2(180]

m∠LMN = 90 degrees.

Thus, based on the outside angles theorem, the measure of angle LMN is: 90 degrees.

Learn more about the outside angles theorem on:

https://brainly.com/question/9892082

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