When two parallel lines are intersected by a transversal, the same-side exterior angles are supplementary. That means that their sum is 180.
Using that logic, if the two roads were parallel, then the sum of their same-side exterior angles will add up to 180. Yet their same-side exterior angles add up to 170 (130 + 40 = 170), hence they can't be parallel.
See the drawing attached below.
Using supplmenatry angles (two angles whose sum of measures add up to 180 or a straight line), we can say that:
m<DIE + m<HID = 18
40 + m<HID = 180
m<HID = 140
Similarly:
m<BHC + m<CHI = 180
130 + m<CHI = 180
m<CHI = 50
Using verticle angles therome, (when two lines intersect, the angles opposite to eachother are congruent, or have the same measure), we can say that:
m<DIE = m<GIH = 40
m<GIE = m<HID = 140
m<CHI = m<AHB = 50
m<BHC = m<AHI = 130
Answer
Find out the how many boxes of paper can the forklift move at one time .
To proof
Let us assume that the number of boxes be x.
As given
A forklift can carry up to 2500 pounds.
You want to move boxes of paper which each weigh 140 pounds.
The paper boxes are supported on one pallet which weighs 50 pounds.
Than the equation is become in the form
140x +50 ≥ 2500
140x ≥ 2500 - 50
140x ≥ 2450
x ≥ 17.5
Therefore the 18 boxes of paper can the forklift move at one time .
Hence proved