plz solve this.........,........
Answers
∠NMS = 35° , ∠ENF = 30° , ∠NFS = 65°
Step-by-step explanation:
Let say O is the center of circle
m(arc NS) = ∠NOS = 130°
∠NOS = 2 ∠NFS ( angle subtended by chord NS at center & arc segment)
=> 130° = 2 ∠NFS
=> ∠NFS = 65°
m(arc EF) = ∠EOF = 60°
∠EOF = 2 ∠ENF ( angle subtended by chord NS at center & arc segment)
=> 60° = 2 ∠ENF
=> ∠ENF = 30°
∠NFS = ∠MNF + ∠NMF ( Exterio angle of triangle = Sum of opposite interior angles)
=> ∠NFS = ∠ENF + ∠NMS
=> 65° = 30° + ∠NMS
=> ∠NMS = 35°
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