Question

Question

Find the value of x so that f parallel-to g. The diagram is not to scale.

A quadrilateral is formed when two segments are drawn connecting line f to line g. Line f is above line g. The segments are angled in opposite directions. The angle formed by the segment on the left and line f is labeled 3 x. The angle formed by the segment on the left and line g is labeled 5 x plus 36.
(1 point)
Responses

19
19

18
18

17
17

–18
–18
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Answer 1

To determine the value of x so that f is parallel to g, we need to find the angle relationship between the angles formed by the two segments and lines f and g.

According to the given information, the angle formed by the segment on the left and line f is labeled 3x, and the angle formed by the segment on the left and line g is labeled 5x + 36.

For f to be parallel to g, these two angles must be corresponding angles. Corresponding angles are equal when two parallel lines are intersected by a transversal.

So, we can set up an equation:

3x = 5x + 36

To solve this equation, we can simplify it:

-2x = 36

Dividing both sides of the equation by -2:

x = -18

Therefore, the value of x that makes f parallel to g is -18.