+0  
 
+2
175
11
avatar+37 

Question: What are the values of m and n?

 

 

 

Picture: http://i66.tinypic.com/2r2qix5.png

 

 

 

Answer Choices:

A. m=65, n=21

B. m=65, n=89

C. m=115, n=21

D. m=115, n=89

Rebirth  Mar 29, 2017
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11+0 Answers

 #1
avatar+223 
0

SO, we know that angle B is 26 degrees, so the 4N+7 angle is also 26 degrees, because of the corresponding angles therum. Does that help  in any way?

liveevillevi  Mar 29, 2017
 #3
avatar+89777 
0

That is not correct liveevillevi 

Melody  Mar 29, 2017
 #2
avatar+89777 
+1

Well you know that the two angles at C add to a straight angle (how many degrees is that?), you can use that to find n.

 

then

 

The two interior angles of a triangle = the opposite exterior angle 

Use that to find  m

 

Melody  Mar 29, 2017
 #5
avatar+37 
+1

So am i suppose to mutiply 21 or 89 to n to see if they equal 180 degrees?

Rebirth  Mar 29, 2017
 #4
avatar+37 
+1

im still not getting it

Rebirth  Mar 29, 2017
edited by Rebirth  Mar 29, 2017
edited by Rebirth  Mar 29, 2017
 #6
avatar+75332 
+2

Note that the two angles designated as 4n + 7  and 4n + 5  are straight angles.....they sum to 180

 

So...let's solve for n....and we have

 

4n + 7  + 4n + 5  = 180   simplify

 

8n  + 12  = 180   subtract 12 from both sides

 

8n  = 168   divide by 8 on both sides

 

n  = 21

 

Now....by the Exterior Angle Theorem....m equals the sum of [ 4n + 5]  + [26]

And  n  = 21......so....m  =  4(21) + 5 + 26  =  84 + 5 + 26  =  89 + 26  =  115

 

 

cool cool cool

CPhill  Mar 29, 2017
 #7
avatar+37 
+1

first where did you get 8n and 12 from?

Rebirth  Mar 29, 2017
edited by Rebirth  Mar 29, 2017
 #9
avatar+37 
+1

oh nm

Rebirth  Mar 29, 2017
 #8
avatar+75332 
+1

Note, Rebirth....adding the angles  4n + 7  and 4n + 5....we want to combine like terms.....so

 

4n + 4n    + 5 + 7  =

 

8n  + 12

 

 

 

cool cool

CPhill  Mar 29, 2017
 #10
avatar+37 
+2

Thanks i understand it now   coolcoolcool

Rebirth  Mar 29, 2017
edited by Rebirth  Mar 29, 2017
 #11
avatar+89777 
+2

That is great :)

Melody  Mar 29, 2017

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