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)
98
18
72
14
If angle 1 and angle 3 are a vertical pair, it means they are opposite each other and they have the same measure. Therefore, m∠1 = m∠3. Setting them equal to each other, we can solve for x:
4x + 26 = 98
Subtracting 26 from both sides:
4x = 72
Dividing both sides by 4:
x = 18
Therefore, the value of x is 18.