Answer:
27
Explanation:
the angle 4x+7 is opposite to the angle 5(x-4), as a rule in this type of figures:
angles opposed by a vertex are equal
so we have:
4x + 7 = 5(x - 4)
we multiply the 5 by (x - 4) in the right side:
4x + 7 = 5x - 20
and then we clear for x:
7 + 20 = 5x - 4x
27 = x
The value of x is 27