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Sagot :

Answer:

[tex]x = 9[/tex]

[tex]y = 17[/tex]

Step-by-step explanation:

This is a cyclic quadralterial so opposite angles are supplementary.

The x variables add up to 180 so

[tex]11x + 8 + 8x + 1 = 180[/tex]

[tex]19x + 9 = 180[/tex]

[tex]19x = 171[/tex]

[tex]x = 9[/tex]

The y variables add up to 180.

[tex]6y - 4 + 5y - 3 = 180[/tex]

[tex]11y - 7 = 180[/tex]

[tex]11y = 187[/tex]

[tex]y = 17[/tex]