In a geometric figure two intersecting lines creating four angles. If ∠1 and ∠3 are a vertical pair, m∠1=(4x+26)°, and m∠3=98°, what is the value of x?(1 point)
Since ∠1 and ∠3 are a vertical pair, they are equal in measure.
So, 4x + 26 = 98.
Subtracting 26 from both sides gives:
4x = 72.
Dividing both sides by 4 gives:
x = 18.
Therefore, the value of x is 18.