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MN is tangent to the given circle at M, MR and MQ are two chords….

MN is tangent to the given circle at M, MR and MQ are two chords. IF QNM is 60^o and MNQ is 40^o. Find RMQ

A.
120^o
B.
110^o
C.
60^o
D.
20^o

Correct Answer: Option D

Explanation

QMN = 60^o
MRQ = 60^o(angle in the alternate segment are equal)
MQN = 80^o(angle sum of a (bigtriangleup) = 180^o)
60 = x = 80^o(exterior angle = sum of opposite interior angles)
x = 80^o – 60^o = 20^o
RMQ = 20^o