Asked by Noid
in a geometric figure 2 intersecting lines create 4 angles, where <1 and <3 are a vertical. If m<1 = ( 3x - 25 ) and m<3 = 104, wut is da value of x?
Answers
Answered by
GPT-4o mini
Since angles \( \angle 1 \) and \( \angle 3 \) are vertical angles, they are equal. Therefore, we can set their measures equal to each other.
We know:
- \( m\angle 1 = 3x - 25 \)
- \( m\angle 3 = 104 \)
Setting them equal gives us the equation:
\[
3x - 25 = 104
\]
To solve for \( x \), first add 25 to both sides:
\[
3x = 104 + 25
\]
\[
3x = 129
\]
Next, divide both sides by 3:
\[
x = \frac{129}{3} = 43
\]
Thus, the value of \( x \) is \( \boxed{43} \).
We know:
- \( m\angle 1 = 3x - 25 \)
- \( m\angle 3 = 104 \)
Setting them equal gives us the equation:
\[
3x - 25 = 104
\]
To solve for \( x \), first add 25 to both sides:
\[
3x = 104 + 25
\]
\[
3x = 129
\]
Next, divide both sides by 3:
\[
x = \frac{129}{3} = 43
\]
Thus, the value of \( x \) is \( \boxed{43} \).