Answer:
x = 130 degrees
Step-by-step explanation:
Here, we want to find the value of x
mathematically, the sum of opposite interior angles equal the opposite exterior angles
In the triangle, we have only one interior angle
Now, as we can see, the angle that measures 150 is on a straight line with one of the angles in the triangle
Mathematically, the sum of angles on a straight line is 180
So we have it that the given angle in the triangle would be (180-150)
If we add this to the 100, we have the exterior angle which is x
Thus, we have it that;
x = 100 + (180-150)
x = 100 + 30
x = 130 degrees
