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Sagot :

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Since A and B are opposite angles on parallel lines, we know that they sum up to 180:

[tex](8x + 74) + (2x + 56) = 180[/tex]

[tex]10x + 130 = 180[/tex]

[tex]10x = 50[/tex]

[tex]x = 5[/tex]

We can plug this into the equation for angle B to get the actual angle:

[tex]B = 2x + 56[/tex]

[tex]B = 2(5) + 56[/tex]

[tex]B = 10 + 56[/tex]

[tex]B = 66[/tex]

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