Find the measure of x.

line pu has points r and s between points p and u, lines qr and st are parallel, line qr intersects line pu at point r, line st intersects line pu at point s, the measure of angle prq is 120 degrees, and the measure of angle ust is 15 ( x plus 2 ) degrees.

x = 2
x = 6
x = 8
x = 10

The correct answer is x=6

Step-by-step explanation:

Line segment PU=180

angle PRQ=120

angle UST= 15(x+2)

Therefore:

120+15(x+2)=180

120+15x+30=180

150+15x=180

15x=30

15x/15=30/15

x=2

for finding the midpoint of any given 2 pair of points simply add the respective x coordinates with other x coordinate and the y coordinate with other y coordinate and divide them by 2

in your question it will be :

(3+1)/2 for the x coordinate of mid point i.e 2

[8+(-4)]/2 for the y coordinate of midpoint i.e 2

so coordinates of mid point of points (3,8) and (1,-4) will be (2,2)