Question: What are the values of m and n?
A. m=65, n=21
B. m=65, n=89
C. m=115, n=21
D. m=115, n=89
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?
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.
The two interior angles of a triangle = the opposite exterior angle
Use that to find m
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] + 
And n = 21......so....m = 4(21) + 5 + 26 = 84 + 5 + 26 = 89 + 26 = 115