Answer:
m=10
Step-by-step explanation:
The angles ∠LHM and ∠JHM are on a straight line, therefore they are supplementary and add to 180 degrees
∠LHM+∠JHM=180
We know that ∠LHM is 2m+10 and ∠JHM is 5m+100, so we can substitute them in
2m+10+5m+100=180
Combine like terms
(2m+5m)+(10+100)=180
7m+110=180
Subtract 110 from both side s
7m=70
Divide by 7 on both sides
m=10
