Answer:
x = 51 degrees
Step-by-step explanation:
The triangle in the image is an isosceles triangle. In an isosceles triangle, if two sides are equal, then the angles opposite to the two sides correspond to each other and are also always equal. And like any other triangle, an isosceles triangle adds up to 180 degrees.
We are given the angle at F, which is 78 degrees. We know by the facts of an isosceles triangle that the angles at G and E are equivalent. So we can simply subtract the given angle by the total degrees, which is 180.
180 - 78 = 102
Now we know that the two angles at G and E adds up to 102. And because they are equivalent to each other, we will divide 102 by 2.
102/2 = 51
So x = 51 degrees.
