A side of the triangle below has been extended to form an exterior angle of 161 degrees. Angle inside triangle is 46 degrees find the angle of x
To find the angle of x, we can use the fact that the exterior angle of a triangle is equal to the sum of the two opposite interior angles.
Let's call the angle inside the triangle adjacent to x as angle A. From the given information, we know that angle A + x = 161 degrees. We also know that angle A = 46 degrees.
Therefore, we can substitute the value of angle A into the equation: 46 + x = 161.
Now, we can solve for x by subtracting 46 from both sides of the equation:
x = 161 - 46
x = 115 degrees.
So the angle of x is 115 degrees.