After a bit of consideration if I should tell you or not, as this is a quiz, I will answer the question, but please do not post Quiz questions going forward on here.
By the supplementary angles rule, I can make the statement that (5m+100)+(2m+10)=180. Because there is an addition on the outside, we can make the equation: 5m+100+2m+10=180, which means: 7m+110=180. We can simplify this to say that 7m=70. Using algebra, m=10.