+0

# I been working on this for minutes and i dont know how to solve this

+2
199
11
+37

Question: What are the values of m and n?

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

A. m=65, n=21

B. m=65, n=89

C. m=115, n=21

D. m=115, n=89

Rebirth  Mar 29, 2017
Sort:

#1
+227
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
+90548
0

That is not correct liveevillevi

Melody  Mar 29, 2017
#2
+90548
+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
+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
+37
+1

im still not getting it

Rebirth  Mar 29, 2017
edited by Rebirth  Mar 29, 2017
edited by Rebirth  Mar 29, 2017
#6
+76899
+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

CPhill  Mar 29, 2017
#7
+37
+1

first where did you get 8n and 12 from?

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

oh nm

Rebirth  Mar 29, 2017
#8
+76899
+1

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

4n + 4n    + 5 + 7  =

8n  + 12

CPhill  Mar 29, 2017
#10
+37
+2

Thanks i understand it now

Rebirth  Mar 29, 2017
edited by Rebirth  Mar 29, 2017
#11
+90548
+2

That is great :)

Melody  Mar 29, 2017

### 27 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details