Which of the following graphs shows the line that is perpendicular to y = x + 1 and passes through (1,1)?

Well graph is not given so let's find it

line is perpenducular to y=x+1

slope of y=x+1 is 1

So slope of perpendicular line is -1

And it passes through (1,1)

So, as we know eq of line is

y-y1=m(x-x1)

X1,y1 denotes a point on line and m denotes a slope

So, fetching above values

y-1=-1(x-1)

y-1=-x+1

y+x=2

y+x-2=0 is required equation

Thanks

Happy to help :)

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.