Homework Help: Geometry

Posted by Needs Help on Monday, January 24, 2011 at 1:51pm.

1. MO bisects LMN, LMN = 5x-23, LMO = x+32. Find NMO.
>>I got the answer 45.75 but I got it wrong. I do not know how to solve this question and I have tried all that I know. Please help..

Geometry - helper, Monday, January 24, 2011 at 2:21pm
What is LMN? For example, is this a line segment, triangle, or ?

How did you get 45.75?

You need to post a better explanation.

Think of it like this. If you knew absolutely nothing about this problem could you solve it with just the info you posted?
Geometry - Needs Help, Monday, January 24, 2011 at 2:41pm
LMN is a Line segment and MO bisect. So it looks like the letter "V" but with a line straight through the middle going up and down.
Geometry - Reiny, Monday, January 24, 2011 at 3:06pm
I agree with "helper".
I cannot figure out what you mean by
LMO = x+32
LMO cannot be a line segment the way you described it.
Is it angle(LMO) = x + 32 ?
What does MO bisect?
Where is O ?
Are the angles at M right angles?
Geometry - Needs Help, Monday, January 24, 2011 at 3:57pm
Let Me Rephrase This:

RayMO bisects AngleLMN,
The Measure of AngleLMN =5x-23,
The Measure of LMO = x+3,
O is the point is from RayMO, the point when a bisect is made.
Find AngleNMO.
Geometry - helper, Monday, January 24, 2011 at 4:19pm
Thank you. That's much better.
If I am understanding your description,

A line that bisects an angle divides it into two congruent parts.

Therefore, angle LMO = angle NMO

angle NMO = angle LMN - angle LMO
angle NMO = 5x - 23 - (x + 3)
angle NMO = 5x - 23 - x - 3
angle NMO = 4x - 26

angle LMO = angle NMO
x + 3 = 4x - 26
3x = 29
x = 9.67

check everything, arithmetic, angles, etc
Geometry - Reiny, Monday, January 24, 2011 at 4:25pm
Still a strange question.

You said above that LMN is a line segment
so angle LMN = 180°
so 5x-23 = 180
x = 40.6°
then angle LMO=x+3 = 40.6+3 = 43.6
then angle NMO = 180-43.6 = 136.4°

So the fact that OM is the bisector of LMN has nothing to do with anything.
Geometry - Needs Help, Monday, January 24, 2011 at 4:28pm
My Answer was AngleNMO=45.75 but My teacher says that it is AngleNMO=61..I dont understand how she got this.
Geometry - Needs Help, Monday, January 24, 2011 at 4:32pm
Sorry It's Not A Line Segment I Looked At The Wrong Question. LMN is an Angle
Geometry - Needs Help, Monday, January 24, 2011 at 4:35pm
The Measure of LMO = x+23.
Geometry - helper, Monday, January 24, 2011 at 5:53pm
I got angle NMO = 61
same method as above, but correction for LMO = x + 32

Therefore, angle LMO = angle NMO

angle NMO = angle LMN - angle LMO
angle NMO = 5x - 23 - (x + 32)
angle NMO = 5x - 23 - x - 32
angle NMO = 4x - 55

angle LMO = angle NMO
x + 32 = 4x - 55
3x = 87
x = 29

angle NMO = 4x - 55
x = 29
4(29) - 55
116 - 55 = 61
Geometry - NEEDS HELP, Monday, January 24, 2011 at 5:59pm
Thank You For Helping Me Understand :)
Geometry - helper, Monday, January 24, 2011 at 6:28pm
you're welcome

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