# Geometry

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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 -

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 -

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 -

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 -

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 -

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 -

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 -

My Answer was AngleNMO=45.75 but My teacher says that it is AngleNMO=61..I don't understand how she got this.

• Geometry -

Sorry It's Not A Line Segment I Looked At The Wrong Question. LMN is an Angle

• Geometry -

The Measure of LMO = x+23.

• Geometry -

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 -

Thank You For Helping Me Understand :)

• Geometry -

you're welcome

• Geometry -

A preimage includes a line segment of length x and slope m. If the preimage is dilated by a scale factor of n, what are the length and slope of the corresponding line segment in the image