To solve for the value of x, you need to understand that the interior angles on the same side of a trapezoid are supplementary when the trapezoid has one pair of parallel sides, which means that their measures add up to 180 degrees.
Given the information that line f is parallel to line g (forming a trapezoid) and the two angles on the left side of the trapezoid are 3x and 6x + 45, we set up the equation for the supplementary angles:
3x + 6x + 45 = 180
Combine like terms:
9x + 45 = 180
Now, subtract 45 from both sides:
9x = 180 - 45
9x = 135
Divide both sides by 9:
x = 135 / 9
x = 15
So the value of x is 15. The correct answer from the provided choices is:
15
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
1 answer
116 answers