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?

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) (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.

RELATED QUESTIONS
The ray BC bisects angle ABD and m angle ABD is 42 degrees. What is the measure of angle... (answered by cleomenius)

Given: Ray BX bisects angle ABC, the measure of angle ABX is 45�. Prove: Angle ABC is a... (answered by Theo)

in a quadrilateral ABCD, ray AC bisects angle DAB and ray CA bisects angle DCB. prove... (answered by richwmiller)

Given < ABC and Ray BX bisects angle < ABC. If the m< ABC=165.1, find <... (answered by ankor@dixie-net.com,ikleyn)

Given: measure of angle 1 = measure of angle 2 Prove: ray EG bisects angle DEF (answered by richard1234)

ray bt bisects angle abc . fin the value value of x. angle abt = (5x-17) (answered by nyc_function)

Ray SU bisects angle RST. The measure of angle RSU=6x-3 and the measure of angle... (answered by Alan3354)

if ray CG bisects angle ACD then whats... (answered by richard1234)

If angle 4 is congruent to angle 3, ray DG bisects angle... (answered by Alan3354)