Answer:
Step-by-step explanation:
Exterior angle property: Exterior angles equals the sum of remote angles
19x - 18 = 7x + 1 + 10x - 9
19x - 18 = <u>7x + 10x</u> + <u>1 - 9 </u> {Combine like terms}
19x - 18 = 17x - 8 {Subtract 17x from both sides}
19x - 17x - 18 = -8
2x - 18 = -8 {Add 18 to both sides}
2x = -8 + 18
2x = 10
x = 10/2
x = 5
Parallel lines must have the same slope. However for them to be UNIQUE lines, ie different lines, they must have a different y-intercept.
So if we say generally that a line is y=mx+b where m is the slope and b is the y-intercept then these two unique parallel lines would be:
y1=mx+h and y2=mx+k
Where m is the same for both and each have unique constants h and k where they cross the y-axis
The slope for 1 is 3/9 or 1/3 so the equation can be y-0=1/3(x-0)
and for 2 the slope is -2/-8 or 1/4 and the equation is y-0=1/4(x-0)
I think it is 96 but I could be wrong