Question

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State all possible ways to define the relationship between the marked pair of angles, then solve for x

Answer 1

Answer:

x = 5

Step-by-step explanation:

Since, lines l and m are parallel and a transversal intersects them.

So, (9x + 2)° and 133° are the measures of the interior angles formed on the same side of the transversal.

$\therefore \: (9x + 2) \degree + 133 \degree = 180 \degree \\ \\ \therefore \: (9x + 2) \degree = 180 \degree - 133 \degree\\ \\ \therefore \: (9x + 2) \degree = 47 \degree\\ \\ 9x + 2 = 47 \\ \\ 9x = 47 - 2 \\ \\ 9x = 45 \\ \\ x = \frac{45}{9} \\ \\ x = 5$