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

#1**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

#2**+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

#6**+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