As per the circumcenter of a triangle, ∠ZBM = ∠ZCM for the given figure.
What is the circumcenter of a triangle?
"The circumcenter of a triangle is defined as the point where the perpendicular bisectors of the sides of that particular triangle intersect."
In the given figure, point Z is the circumcenter.
Therefore, the perpendicular bisectors of each side meet at point Z.
It is clear from the given figure that, ZA, ZB, and ZC all are perpendiculars on the sides LN, LM, and MN, respectively.
Therefore, ∠ZBM = ∠ZCM = 90°.
Learn more about the circumcenter of a triangle here: https://brainly.com/question/4450869
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