In a geometric figure, 2 intersecting lines, creating four angles, if angle, one and an angle three or a vertical PAIR M angle one equals 4X +26 and M angle three equals 98 what is the value of X?

Since Angle One and Angle Three are vertical angles, they have the same measure.

So, Angle One = Angle Three = 98.

We are also given that Angle One + Angle Three = 4x + 26.
So, substituting the values, we get 98 + 98 = 4x + 26.
196 = 4x + 26.

Subtracting 26 from both sides, we get 196 - 26 = 4x.
170 = 4x.

Dividing both sides by 4, we get x = 170/4 = <<170/4=42.5>>42.5.

Therefore, the value of X is 42.5.