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
Attached Figure / Diagram
A
120o
B
110o
C
60o
D
20o
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
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
Source: Myschool Past Questions Archive (Record #32895)