I need to find x and y

asked Apr 10, 2023 20.1k views

3 votes

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Using the same-side interior angles theorem,

$8x+30+6x+24=180 \\ \\ 14x+54=180 \\ \\ 14x=126 \\ \\ \boxed{x=9}$

Using vertical angles,

$6(9)+24=10y+2 \\ \\ 78=10y+2 \\ \\ 10y=76 \\ \\ \boxed{y=7.6}$

Ruelos Joel answered Apr 15, 2023

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