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Questions
In the given figure, m(arc NS) = 125°, m(arc EF) = 37°, find the measure ∠NMS.
In the adjoing figure, m(arc NS) = 125° m(arc EF) = 37°, find ∠NMS.
In the above figure, m(arc NS) = 125°, m(arc EF) = 37°. Find the measure of ∠NMS.
Sum
Solution
m(arc NS) = 125°
m(arc EF) = 37°
Chords EN and FS intersect externally at point M.
∴ m∠NMS = `1/2 ["m"("arc NS") - "m"("arc EF")]`
= `1/2 (125^circ - 37^circ)`
= `1/2 xx 88^circ`
∴ m∠NMS = 44°
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