In a geometric figure, 2 intersecting lines create 4 angles where 1 and 3 are a vertical pair. If m one equals three x minus twenty five and m three equals one hundred and four , what is the value of x
If angles 1 and 3 are a vertical pair, it means they are congruent, meaning they have the same measure. So, if m1 = 3x - 25 and m3 = 104, then we can set up the equation:
3x - 25 = 104
Adding 25 to both sides, we have:
3x = 129
Dividing both sides by 3, we find:
x = 43
So, the value of x is 43.