Answer:
m<N = 10°
Step-by-step explanation:
If the vertex of the inscribied angle is in the circumference, its measure if half the measure of the arc:
[tex]m < n = \frac{mlm}{2} [/tex]
NL is the diameter of the circle, so arc NML is 180° (half the circle). We know the measure of arc NM:
[tex]mnm +mlm \: = mnml \\ 160 + mlm = 180 \\ mlm = 180 - 160 \\ mlm = 20[/tex]
So, angle N is:
[tex]m < n = 10[/tex]
