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the value of m is 24°

Step-by-step explanation:

m+7+2m+11=90° ( being complementary angle)

3m+18°= 90°

3m =90- 18°

3m = 72

m= 72/3

m=24°

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.