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TheAnimeGirl

[tex]answer \\48 \\ solution \\ let \: the \: ratios \: of \: angles \: be \: 4x \: and \: 11x \\ 4x + 11x = 180(sum \: of \: angle \: in \: straight \: line) \\ or \: 15x = 180 \\ or \: x = \frac{180}{5} \\ x = 12 \\ again \\ < aob = 4x \\ \: \: \: \: \: = 4 \times 12 \\ \: \: \: \: \: \: \: \: \: \: = 48 \\ hope \: it \: helps[/tex]

Hi1315

Answer:

[tex]48 \: \: degrees[/tex]

Answer B is correct

Step-by-step explanation:

We know that,

Angels in a straight line = 180°

Let's get the ratio of angles as,

[tex] 4x: 11x[/tex]

Let's solve for x now.

[tex]4x + 11 = 180 \\ 15 = 180 \\ \frac{15x}{15} = \frac{180}{15} \\ x = 12 \\ [/tex]

Angle AOB = 4x

[tex]x = 12 \\ 4x = 12 \times 4 \\ = 48[/tex]

hope this helps you.

brainliest appreciated

good luck! have a nice day!