Ask a New Question
Menu

Given that line f is parallel to line g, find the value of x. The diagram is not to scale.

A trapezoid is shown formed by two parallel lines and two line segments.· Line f is above line g.
· A positively sloped segment is drawn on the left connecting the parallel lines.
· A negatively sloped segment is drawn on the right connecting the parallel lines, · forming the trapezoid.
· The upper left angle of the trapezoid is labeled 3 x.
· The lower left angle of the trapezoid is labeled 6 x plus 45.
(1 point)
Responses

16
16

–15
–15

15
15

14
14

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
10 months ago

To solve for x, we need to use the fact that the opposite angles of a trapezoid are equal.

Since line f is parallel to line g, the upper left angle of the trapezoid (3x) and the lower right angle of the trapezoid must be equal.

Therefore, we can set up the equation:
3x = 6x + 45

To solve for x, we can subtract 6x from both sides of the equation:
-3x = 45

Then, divide both sides by -3 to solve for x:
x = -15

So the value of x is -15.