Question

In the diagram of circle A, what is m∠LMN?

Answer 1

we know that

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

so

m∠LMN=$\frac{1}{2}(270\°-90\°)=90\°$

therefore

the answer is $90\°$

Answer 2

90 degrees I hope I helped