Y=-1/2x+3
y=-1/2x-5 is parallel:
y=-1/2x-1 is parallel: x+2y=-2
y=2x-4 is perpendicular: -2x+y=-4
y=1/2x+2 is parallel: -x+2y=2
Answer:






Step-by-step explanation:
step 1
Find the value of x
we know that
----> by alternate interior angles
solve for x
Group terms


step 2
Find the measure of angle a
we know that
----> by vertical angles
substitute the value of x

step 3
Find the measure of angle b
we know that
----> by supplementary angles (form a linear pair)
we have

substitute


step 4
Find the measure of angle c
we know that
----> by vertical angles
we have

therefore

step 5
Find the measure of angle d
we know that
----> by corresponding angles
we have

therefore

step 6
Find the measure of angle e
we know that
----> by alternate exterior angles
we have

therefore

step 7
Find the measure of angle f
we know that
----> by vertical angles
we have

therefore

Lol yes I can factor that.

But, this can be factored further.
-5 + n is another way to write the expression.