Question

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.

Answer 1

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°