Question

In figure m Care Ns) = 125 - Carlt) = 39"
find the measure CNMS using following
Activity.​

Answer 1

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We know, if two lines containing chords of a circle intersect each other outside the circle, then the measure of the angle between them is half the difference in measures of the arcs intercepted by the angle.

∴∠NMS=21[m(arcNS)—m(arcEF)]

⇒∠NMS=21×(125o−37o)=21×88o=44o 

Thus, the measure of ∠NMS is 44o.