Answer:
The value of x is 8.
Explanation:
In geometry, alternate exterior angles are a specific type of angle formed when two lines are crossed by a third line, called a transversal.
These angles hold a special relationship that allows us to identify them and use them to prove other geometric properties.
Alternate exterior angles are pairs of angles that lie outside the two parallel lines, on opposite sides of the transversal, and are non-corresponding angles.
Now,
From the figure:
(9x + 18)° and [5(x + 7) + 15]° are alternate exterior angles.
So,
(9x + 18)° = [5(x + 7) + 15]°
9x + 18 = 5x + 35 + 15
9x + 18 = 5x + 50
9x - 5x = 50 - 18
4x = 32
x = 8
Thus, the value of x is 8.