Question

The value of x is___.

Answer 1

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.