In the diagram shown at left, three lines intersect to form a triangle. What is the value of x ?

The value of x is 39°

Step-by-step explanation:

To obtain the value of x°, we need to determine the sizes of the remaining angles in the triangle.

In the attached photo,

Angle y = 68° (opposite angles are equal)

z° + 107° = 180° (sum of angles on a straight line)

Collect like terms

z° = 180° – 107°

z° = 73°

Now, we can obtain the value value of x as follow:

x° + y° + z° = 180° (sum of angles in a triangle)

x° =?

y° = 68°

z° = 73°

x° + 68° + 73° = 180°

Collect like terms

x° = 180° – 68° – 73°

x° = 39°

Therefore, the value of x is 39°.