I think its the first one
Answer:
x = 12
Step-by-step explanation:
A pair of supplementary angles added together MUST equal 180. Therefore, as you are given two angles with the measures of (4x - 24) and 4(2x - 3), they must add together to equal 180. So, we get this equation:
(4x - 24) + 4(2x - 3) = 180
4x - 24 + 8x - 12 = 180 (we distributed 4(2x-3))
12x - 36 = 180
12x = 144
x = 12, -12
Therefore, x is 12 because -12 would mean that (4x-24) and 4(2x-3) are both negative, which is impossible for an angle measure.
x=-11
we know that
Points A,B,C,and D are collinear and positioned in that order
so
AD=AB+BC+CD -----> by addition segment postulate
we have
AB=2x+30
AD=x=32
substitute the given values and solve for x
x+32 = (2x+43)
Group terms that contain the same variable
2x-x=32-43
x=-11
