MN is tangent to the given circle at M, MR and MQ are two chords. IF QNM is 60o and MNQ is 40o. Find RMQ
Take Free Practice Test On 2026 JAMB UTME, Post UTME, WAEC SSCE, GCE, NECO SSCE
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
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