Geometric behavior, two intersecting lines, create four angles where angle one and angle three are vertical pair. If an angle one equals 3X -25 and an angle three equals one04° what is the value of X?

Answer 1

Since angle one and angle three are vertical pair, they are congruent (they have equal measures). Therefore, we can set up an equation:

3X - 25 = 104

To solve for X, we'll need to isolate the variable. Let's first add 25 to both sides of the equation:

3X - 25 + 25 = 104 + 25
3X = 129

Next, we'll divide both sides of the equation by 3:

(3X)/3 = 129/3
X = 43

Therefore, the value of X is 43.