Question

I don't know how to find the answer for KMC.

Answer 1

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