Answer: In any triangle, the sum of the three angles is always 180 degrees. This is known as the triangle angle sum theorem.
So in triangle efg, we can use this theorem to find angle g in terms of x:
angle e + angle f + angle g = 180
5x+6 + 4x-6 + 5x-2 = 180
14x = 180 + 8
14x = 188
angle g = 5x-2 = 5(188/14) - 2 = 5(13.4285714) - 2 = 67.1428571 degrees
So angle g = 67.1428571 degrees
It's important to note that the values of x are the unknowns.
Explanation: