Respuesta :

Step-by-step explanation:

Given Angle AOC = 90,

Angle AOB + Angle BOC = 90

[tex]3x + 46 + 14 = 90 \\ 3x + 60 = 90 \\ 3x = 90 - 60 \\ 3x = 30 \\ x = 30 \div 3 \\ = 10[/tex]

Answer:

B) 10

Step-by-step explanation:

It is given that the (m<AOC) is (90) degrees. It is also given that (<AOB) and (<BOC) compose (<AOC). Therefore, the following statement can be made;

(m<AOB) + (m<BOC) = (m<AOC)

Substitute,

(3x + 46) + (14) = (90)

Simplify,

3x + 60 = 90

Inverse operations,

3x + 60 = 90

    -60    -60

3x = 30

/3    /3

x = 10

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