Hello from MrBillDoesMath!
Answer:
See discussion below. (I think the desired answer is 130)
Discussion:
The problem needs to be clarified to give you a answer. Her'es why:
Argument 1:
When two lines intersect vertical angles are equal. So angle HMC =
angle RMK. That's equivalent to
5M + 15 = 7M +1 => subtract 5M from both sides
5M - 5M + 15 = 7M -5M +1 => subtract 1 from both sides
0 + 15 -1 = 2M + 1 -1 =>
14 = 2M =>
M = 7
As a straight line has 180 degrees
angle RMK + angle KMC = 180 => as angle RMK = 7M + 1
(7M + 1 ) + angle KMC = 180 => as M =7 from above
50 + angle KMC = 180 =>
angle KMC = 180 - 50 = 130.
I think this is the answer they want BUT notice
Argument 2.
Per the diagram, M can be interpreted as either the point of
intersection of the 2 lines or as the angle at the intersection of the two
lines. If the point of intersection were called, say Q, and M reserved
for angles, the problem would be clearer. BUt as I said above I think
they are looking for the answer found in Argument 1 (130 degrees)
Thank you,
MrB
