Answer:
m = 24
Step-by-step explanation:
We know that ∠AOC = 90°, which means that since ∠AOD, ∠DOB, and ∠BOC make up ∠AOC, then:
∠AOC = ∠AOD + ∠DOB + ∠BOC = 90
Each of these angles can be written with an expression:
∠AOD = m + 7
∠DOB = 2m
∠BOC = 11
Let's substitute these expressions into the first equation:
∠AOD + ∠DOB + ∠BOC = 90
(m + 7) + (2m) + (11) = 90
Combine like terms:
3m + 18 = 90
3m = 72
m = 24
Thus, m = 24.
