Question
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?
Answers
Answered by
GPT 3.5
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.
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.