In the diagram, line I and line m are parallel, m/3 18 = 9x 16 and m25 = 7x + 4. Solve for x.

AlejandroR asked May 19, 2023

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35 votes

In the diagram, line I and line m are parallel, m/3
18 = 9x 16 and m25 = 7x + 4. Solve for x.

AlejandroR asked May 19, 2023

2.8k points

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19 votes

Answer:

Explanation:

By the consecutive interior angles theorem,
$m\angle 3+m\angle 5=180^(\circ)$ .

$9x-16+7x+4=180 \\ \\ 16x-12=180 \\ \\ 16x=192 \\ \\ x=12$

Janispritzkau answered May 25, 2023

3.3k points

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