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?
If ∠1 and ∠3 are a vertical pair, then they are congruent angles. Therefore, we can set up the equation:
m∠1 = m∠3
4x + 26 = 98
Subtracting 26 from both sides, we have:
4x = 72
Dividing both sides by 4, we get:
x = 18
Therefore, the value of x is 18.