Find the value of x that makes A||B.A12B435Z2 = 2x + 10 and 24 = 4x + 80x= [?]

Ajthyng asked Dec 14, 2023

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Ajthyng asked Dec 14, 2023

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10 votes

if A and B must be parallel, then:

$\angle2+\angle4=180$

where:

$\begin{gathered} \angle2=2x+10 \\ \angle4=4x+80 \end{gathered}$

so:

$\begin{gathered} 2x+10+4x+80=180 \\ 6x+90=180 \\ solve_{\text{ }}for_{\text{ }}x\colon \\ 6x=180-90 \\ 6x=90 \\ x=(90)/(6) \\ x=15 \end{gathered}$

Nielsv answered Dec 19, 2023

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