Answer:
126.5
Step-by-step explanation:
To find the solution for KMC use the following geometry theorems:
- Vertical angles are congruent so their measures are equal.
- Supplementary angles form a straight line have when added together equal 180.
HMC and RMK are vertical angles because they are across a vertex from each other. They are congruent and have equal measures. So M can be solved for by:
5m+15=7m+1
5m+15-1=7m+1-1
5m+14=7m
5m-5m+15=7m-5m
15=2m
7.5=m
Now substitute m=7.5 into one of the angles, either HMC or RMK.
7(7.5)+1 = 52.5+1 = 53.5
Notice, RMK and KMC are supplementary because they form a straight line together. This means 53.5 + KMC = 180.
So KMC = 126.5
