Question

Find the measure of m<N
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Answer 1

m<N = 10°

Explanation:

If the vertex of the inscribied angle is in the circumference, its measure if half the measure of the arc:

`m < n = (mlm)/(2)`

NL is the diameter of the circle, so arc NML is 180° (half the circle). We know the measure of arc NM:

`mnm +mlm \: = mnml \\ 160 + mlm = 180 \\ mlm = 180 - 160 \\ mlm = 20`

So, angle N is:

`m < n = 10`