SOLUTION: Ray MP bisects angle LMN. Ray MQ bisects angle LMP, and ray MR bisects angle QMP. If the measure of RMP = 21, what is the measure of LMN?

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Question 1122530: Ray MP bisects angle LMN. Ray MQ bisects angle LMP, and ray MR bisects angle QMP. If the measure of RMP = 21, what is the measure of LMN?
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
MP bisects LMN.

this forms LMP = PMN with LMP + PMN = LMN.

MQ bisects LMP.

this forms LMQ = QMP with LMQ + QMP = LMP

MR bisects QMP.

this forms QMR = RMP with QMR + RMP = QMP

RMP = 21.

QMR = RMP with QMR + RMP = QMP results in 21 + 21 = 42.

this means QMP = 42.

LMQ = QMP with LMQ + QMP = LMP results in 42 + 42 = 84.

this means LMP = 84.

LMP = PMN with LMP + PMN = LMN results in 84 + 84 = 168.

this means LMN = 168.

that's your solution as far as i can see.