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August 28, 2016
Posted by **Needs Help** on Monday, January 24, 2011 at 1:51pm.

>>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 2:21pmWhat 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 2:41pmLMN 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 3:06pmI 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 3:57pmLet 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 4:19pmThank 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 4:25pmStill 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 4:28pmMy 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 4:32pmSorry It's Not A Line Segment I Looked At The Wrong Question. LMN is an Angle

- Geometry -
**Needs Help**, Monday, January 24, 2011 at 4:35pmThe Measure of LMO = x+23.

- Geometry -
**helper**, Monday, January 24, 2011 at 5:53pmI 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 5:59pmThank You For Helping Me Understand :)

- Geometry -
**helper**, Monday, January 24, 2011 at 6:28pmyou're welcome

- Geometry -
**chy**, Monday, February 24, 2014 at 9:17amA 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