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

Mathematics

JAMB 1989

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

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

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Correct Answer: Option D

Explanation

QMN = 60º

MRQ = 60º(angle in the alternate segment are equal)

MQN = 80º(angle sum of a \(\bigtriangleup\) = 180º)

60 + x = 80º(exterior angle = sum of opposite interior angles)

x = 80º - 60º = 20º

RMQ = 20º

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

Correct Answer: Option D

Explanation

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