Lines b and c are parallel. horizontal and parallel lines b and c are cut by transversal a. where line b intersects line a, 4 angles are created. labeled clockwise, from uppercase left, the angles are: 1, 2, (18 x + 4) degrees, (7 x + 1) degrees. where line c intersects line a, 4 angles are created. labeled clockwise, from uppercase left, the angles are: 5, 6, 8, 7. what is the measure of angle2? mangle2 = 31° mangle2 = 50° mangle2 = 120° mangle2 = 130°

mAngle2 = 50°

Step-by-step explanation:

A relative schematic has been attached bellow describing the problem.

In this case, we will be working with Supplementary angles. The latter denote angles which when summed together equal to 180°.

From the schematic we can identify the following Supplementary pairs as:

∠1 and ∠2

∠2 and ∠(18x+4)

∠(18x+4) and ∠(7x+1)

∠(7x+1) and ∠1

So lets start by finding the value of as follow. Since we know the supplementary pairs we have that

Now we similarly know that ∠2 and ∠(18x+4) are supplementary. So lets replace the value of in ∠, we have

So finally we have

Thus we can say that ∠2 = 50° (which matches the second options from the available ones).

it's equivalent, so we can say that its equal.

let's call the denominator x and the numerador is 18 less then denominator, x - 18.

multiply

2.x = 5.(x - 18)

2x = 5x - 90

90 = 5x - 2x

90 = 3x

x = 90/3

x = 30

so: