Answer:
x = 3
Explanation:
To find the value of x. We have to use Exterior Angle Theorem.
It is says "The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles of the triangle."
In the given figure,
45x = 25x + (57 + x)
Now let's find the value of x.
First we need to isolate the variable terms
45x - 25x = 57 + x
20x - x = 57
19x = 57
x = 57/19
x = 3
The value of x = 3.
Thank you.