Question

In the following figure, m(arc NS) = 125°, m(arc EF) = 37°. Find m∠NMS.

Answer 1

∠NMS = `1/2` [m(arc NS) + m(arc EF)]

= `1/2 [125^circ + 37^circ]`

= `1/2 xx 162^circ`

∴ ∠NMS = 81°